Age Placement Review Pack

Everything an educator needs to rule on where Zerdly Maths places each topic, in one document you can print and mark up. It is rebuilt from the tools themselves every time this page is opened, so it cannot fall behind them.

Not for children, and not part of the maths section — it is a working document for review. Nothing here is stored, sent or counted. Back to Zerdly Maths.

Zerdly Maths — age placement review

37 skills, 34 with a tool behind them, across ages 5 to 14. 332 real questions shown.

What we are asking you to look at

  1. Are the ages right? Each topic is placed at the ages it is usually met. Every year label, every difficulty setting and every “what comes next” suggestion is worked out from that one judgement.
  2. Are the questions right for the age? Under each age below are the actual easiest and hardest questions a child of that age receives. This is the part worth your time — a placement can look sensible in a table while the questions it produces are not.
  3. Is anything missing or in the wrong order? Including whether a topic that should come before another does.

Things we are flagging ourselves

Every age placement in this document is our judgement, not a teacher's

No qualified educator has reviewed any of it. The placements were made by reading what each age actually receives and removing what was plainly wrong; that is a sanity pass, not a professional opinion, and it is exactly why we are asking. Where you disagree, the skill id beside each row is all we need.

We never claim to follow any curriculum

Zerdly Maths says where a topic is USUALLY met and says plainly that it may not match a given school. It does not reproduce, align to, or claim endorsement from any curriculum document, and a build check fails if any wording drifts towards claiming otherwise. Please read the levels wording with that in mind: the question is whether it is honest, not whether it matches a syllabus.

3 skills are mapped but have no tool yet

Counting on (number_sense.counting_forward), Times tables (multiplication.basic_facts), Recognising fractions (fractions.recognise). They appear in the skill list and in the age ladder, and a learner can see them coming, but there is nothing to practise. Worth knowing if a placement looks odd: an empty skill has no questions to judge it by.

Recognising fractions starts before Division, which it builds on

Recognising fractions is placed at ages 6 to 8 and Division at ages 8 to 11. Our reasoning: Recognising a half or a quarter of a shape is met around 5–6, long before formal division. The graph links them because sharing is what a fraction MEANS, not because division is taught first. This is a deliberate pair rather than an oversight, and it is one of the things we would most like a second opinion on.

Telling the time starts before Times tables, which it builds on

Telling the time is placed at ages 5 to 10 and Times tables at ages 7 to 9. Our reasoning: O'clock and half past are met around 5. Times tables matter only for reading minutes in fives, which is the later half of the same skill. This is a deliberate pair rather than an oversight, and it is one of the things we would most like a second opinion on.

One country difference is encoded, and only one

Formal school maths starts later in singapore — Primary 1 at 7, with the years before it pre-school — so at ages 5 and 6 those learners are shown an explanation rather than a topic list. It raises the FLOOR only: starting later does not mean finishing later, and no topic's upper age moves. Nothing else about any curriculum is modelled.

Mixed sessions are deliberately easier than the single-topic tools

The Maths Speed Test draws from four topics at once, and a session can only have one difficulty — so it uses the tightest window that is safe across all four. At some ages that makes it easier than practising those topics one at a time. We chose to err towards too easy; if that is the wrong call for a mixed session, we would rather know.

Age by age

The band range in brackets is the slice of a topic’s full 1–10 difficulty that this age is held to. A child never sees questions from outside it unless they choose a different age themselves — nothing is locked.

Age 5England: Year 1 · Australia: Foundation · United States: Kindergarten · New Zealand: Year 1 · Singapore: Kindergarten 1

Formal school maths has not started yet in Singapore, so learners there are shown an explanation rather than a topic list at this age.

TopicQuestions this age actually gets
Counting on
number_sense.counting_forward
bands 23 of 10
No tool yet — this topic is mapped but cannot be practised.
Tens and ones
place_value.ones_tens
bands 12 of 10
  • Easiest (band 1)
    What is the 2 worth in 29? 20
  • Hardest (band 2)
    What is the 4 worth in 74? 4
Number bonds
addition.number_bonds
bands 12 of 10
  • Easiest (band 1)
    2 + ? = 10 8
  • Hardest (band 2)
    4 + ? = 10 6
Addition
addition.core
bands 12 of 10
  • Easiest (band 1)
    2 + 7 = ? 9
  • Hardest (band 2)
    7 + 1 = ? 8
Subtraction
subtraction.core
bands 12 of 10
  • Easiest (band 1)
    5 - 1 = ? 4
  • Hardest (band 2)
    16 - 6 = ? 10
Telling the time
time.core
bands 12 of 10
  • Easiest (band 1)
    What time does this clock show? Write it as hours:minutes. 12:00123456789101112
  • Hardest (band 2)
    What time does this clock show? Write it as hours:minutes. 7:30123456789101112
Shapes
geometry.shapes
bands 12 of 10
  • Easiest (band 1)
    How many straight sides does this shape have? 4
  • Hardest (band 2)
    How many straight sides does this shape have? 5
Number line
number_sense.number_line
bands 12 of 10
  • Easiest (band 1)
    What number is the arrow pointing at? 4012345678910?
  • Hardest (band 2)
    What number is the arrow pointing at? 406121824?

Age 6England: Year 2 · Australia: Year 1 · United States: Grade 1 · New Zealand: Year 2 · Singapore: Kindergarten 2

Formal school maths has not started yet in Singapore, so learners there are shown an explanation rather than a topic list at this age.

TopicQuestions this age actually gets
Counting on
number_sense.counting_forward
bands 23 of 10
No tool yet — this topic is mapped but cannot be practised.
Tens and ones
place_value.ones_tens
bands 34 of 10
  • Easiest (band 3)
    What is the 4 worth in 449? 40
  • Hardest (band 4)
    What is the 9 worth in 916? 900
Number bonds
addition.number_bonds
bands 34 of 10
  • Easiest (band 3)
    1 + ? = 20 19
  • Hardest (band 4)
    13 + ? = 20 7
Addition
addition.core
bands 34 of 10
  • Easiest (band 3)
    7 + 8 = ? 15
  • Hardest (band 4)
    88 + 1 = ? 89
Subtraction
subtraction.core
bands 34 of 10
  • Easiest (band 3)
    11 - 4 = ? 7
  • Hardest (band 4)
    44 - 2 = ? 42
Recognising fractions
fractions.recognise
bands 23 of 10
No tool yet — this topic is mapped but cannot be practised.
Telling the time
time.core
bands 34 of 10
  • Easiest (band 3)
    What time does this clock show? Write it as hours:minutes. 11:15123456789101112
  • Hardest (band 4)
    What time does this clock show? Write it as hours:minutes. 11:45123456789101112
Shapes
geometry.shapes
bands 34 of 10
  • Easiest (band 3)
    How many corners does this shape have? 4
  • Hardest (band 4)
    How many straight sides does this shape have? 6
Number line
number_sense.number_line
bands 23 of 10
  • Easiest (band 2)
    What number is the arrow pointing at? 10510?
  • Hardest (band 3)
    What number is the arrow pointing at? 2501020304050?
Missing number
number_sense.missing_number
bands 12 of 10
  • Easiest (band 1)
    5 + ? = 10 5012345678910510
  • Hardest (band 2)
    ? + 9 = 12 305101520912

Age 7England: Year 3 · Australia: Year 2 · United States: Grade 2 · New Zealand: Year 3 · Singapore: Primary 1

TopicQuestions this age actually gets
Tens and ones
place_value.ones_tens
bands 45 of 10
  • Easiest (band 4)
    What is the 8 worth in 982? 80
  • Hardest (band 5)
    What is the 2 worth in 2,839? 2000
Number bonds
addition.number_bonds
bands 56 of 10
  • Easiest (band 5)
    5 + ? = 50 45
  • Hardest (band 6)
    20 + ? = 100 80
Addition
addition.core
bands 56 of 10
  • Easiest (band 5)
    37 + 6 = ? 43
  • Hardest (band 6)
    20 + 69 = ? 89
Subtraction
subtraction.core
bands 56 of 10
  • Easiest (band 5)
    61 - 7 = ? 54
  • Hardest (band 6)
    74 - 33 = ? 41
Multiplication
multiplication.core
bands 12 of 10
  • Easiest (band 1)
    3 x 1 = ? 3
  • Hardest (band 2)
    3 x 6 = ? 18
Times tables
multiplication.basic_facts
bands 12 of 10
No tool yet — this topic is mapped but cannot be practised.
Recognising fractions
fractions.recognise
bands 45 of 10
No tool yet — this topic is mapped but cannot be practised.
Money
money.core
bands 12 of 10
  • Easiest (band 1)
    a pair of socks costs $0.85 and a sandwich costs $0.35. How much for both? 1.20
  • Hardest (band 2)
    Something costs $0.90. You pay with $5.00. How much change? 4.10
Telling the time
time.core
bands 45 of 10
  • Easiest (band 4)
    What time does this clock show? Write it as hours:minutes. 5:55123456789101112
  • Hardest (band 5)
    It is 7:45. What time will it be in 55 minutes? 8:40
Number patterns
patterns_algebra.core
bands 12 of 10
  • Easiest (band 1)
    What comes next? 8, 10, 12, 14, ? 16024681012141618
  • Hardest (band 2)
    Fill the gap: 3, 8, 13, ?, 23 18051015202530
Measurement and units
measurement.core
bands 12 of 10
  • Easiest (band 1)
    8 cm = ? mm 80
  • Hardest (band 2)
    1200 cm = ? m 12
Shapes
geometry.shapes
bands 45 of 10
  • Easiest (band 4)
    How many straight sides does this shape have? 6
  • Hardest (band 5)
    How many straight sides does this shape have? 3
Angles
geometry.angles
bands 12 of 10
  • Easiest (band 1)
    How many right angles is this turn? 3
  • Hardest (band 2)
    Read the protractor. How many degrees is this angle? 1350306090120150180
Number line
number_sense.number_line
bands 45 of 10
  • Easiest (band 4)
    What number is the arrow pointing at? 302060100?
  • Hardest (band 5)
    What number is the arrow pointing at? 4.74.04.55.0?
Missing number
number_sense.missing_number
bands 34 of 10
  • Easiest (band 3)
    ? − 2 = 11 13
  • Hardest (band 4)
    ? + 23 = 32 9
Rounding
place_value.rounding
bands 12 of 10
  • Easiest (band 1)
    Round 31 to the nearest 10. 3030354031
  • Hardest (band 2)
    Round 77 to the nearest 10. 8070758077
Elapsed time
time.elapsed
bands 12 of 10
  • Easiest (band 1)
    The rehearsal starts at 4:00 and finishes at 4:15. How many minutes does it last? 150153045604:005:00
  • Hardest (band 2)
    The film starts at 10:00 and finishes at 10:20. How many minutes does it last? 2001530456010:0011:00

Age 8England: Year 4 · Australia: Year 3 · United States: Grade 3 · New Zealand: Year 4 · Singapore: Primary 2

TopicQuestions this age actually gets
Tens and ones
place_value.ones_tens
bands 67 of 10
  • Easiest (band 6)
    What is the 2 worth in 2,712? 2000
  • Hardest (band 7)
    What is the 5 worth in 67,513? 500
Number bonds
addition.number_bonds
bands 78 of 10
  • Easiest (band 7)
    50 + ? = 100 50
  • Hardest (band 8)
    20 + ? = 100 80
Addition
addition.core
bands 78 of 10
  • Easiest (band 7)
    79 + 68 = ? 147
  • Hardest (band 8)
    165 + 26 = ? 191
Subtraction
subtraction.core
bands 78 of 10
  • Easiest (band 7)
    131 - 65 = ? 66
  • Hardest (band 8)
    962 - 92 = ? 870
Multiplication
multiplication.core
bands 34 of 10
  • Easiest (band 3)
    5 x 6 = ? 30
  • Hardest (band 4)
    9 x 9 = ? 81
Times tables
multiplication.basic_facts
bands 34 of 10
No tool yet — this topic is mapped but cannot be practised.
Division
division.core
bands 13 of 10
  • Easiest (band 1)
    4 / 1 = ? 4
  • Hardest (band 3)
    24 / 6 = ? 4
Recognising fractions
fractions.recognise
bands 56 of 10
No tool yet — this topic is mapped but cannot be practised.
Money
money.core
bands 34 of 10
  • Easiest (band 3)
    a sticker sheet costs $1.80 and a pencil costs $2.00. How much for both? 3.80
  • Hardest (band 4)
    a pencil costs $2.75 and a rubber costs $1.85. How much for both? 4.60
Telling the time
time.core
bands 67 of 10
  • Easiest (band 6)
    It is 6:38. What time will it be in 20 minutes? 6:58
  • Hardest (band 7)
    Write 4:45 am as a 24-hour time. 04:45
Equivalent fractions
fractions.equivalent
bands 13 of 10
  • Easiest (band 1)
    4/5 = ?/15 12
  • Hardest (band 3)
    1/2 = ?/4 21/2the same amount, in smaller pieces
Decimals
decimals.core
bands 12 of 10
  • Easiest (band 1)
    0.6 + 0.2 = 0.8
  • Hardest (band 2)
    5.2 + 4.6 = 9.8
Area and perimeter
geometry.area
bands 12 of 10
  • Easiest (band 1)
    What is the perimeter of this rectangle, in units? 10
  • Hardest (band 2)
    How many squares is the area of this rectangle? 24
Number patterns
patterns_algebra.core
bands 34 of 10
  • Easiest (band 3)
    Fill the gap: 12, ?, 20, 24, 28 16
  • Hardest (band 4)
    Fill the gap: 46, ?, 62, 70, 78 54
Measurement and units
measurement.core
bands 34 of 10
  • Easiest (band 3)
    4000 m = ? km 4
  • Hardest (band 4)
    2000 g = ? kg 2
Charts and averages
statistics.core
bands 12 of 10
  • Easiest (band 1)
    How many goals for Cats? 50123456789CatsDogsFishBirds
  • Hardest (band 2)
    How many goals for Dogs? 201234567891011CatsDogsFishBirds
Chance and counting
probability.core
bands 12 of 10
  • Easiest (band 1)
    A bag holds 3 red, 3 blue and 1 yellow counters. How many counters are there altogether? 7
  • Hardest (band 2)
    A bag holds 2 red, 2 blue and 1 yellow counters. How many of them are NOT red? 3
Shapes
geometry.shapes
bands 67 of 10
  • Easiest (band 6)
    How many straight sides does this shape have? 3
  • Hardest (band 7)
    How many square corners (right angles) does this shape have? 4
Angles
geometry.angles
bands 34 of 10
  • Easiest (band 3)
    Read the protractor. How many degrees is this angle? 1500306090120150180
  • Hardest (band 4)
    Read the protractor. How many degrees is this angle? 200306090120150180
Number line
number_sense.number_line
bands 56 of 10
  • Easiest (band 5)
    What number is the arrow pointing at? 4.34.04.55.0?
  • Hardest (band 6)
    Start at the dot and move 2 marks to the right. What number do you land on? 2.41.52.02.52.2
Missing number
number_sense.missing_number
bands 45 of 10
  • Easiest (band 4)
    ? − 18 = 7 25
  • Hardest (band 5)
    2 × ? = 22 11
Rounding
place_value.rounding
bands 34 of 10
  • Easiest (band 3)
    Round 524 to the nearest 10. 520520525530524
  • Hardest (band 4)
    Round 965 to the nearest 100. 10009009501000965
Comparing fractions
fractions.compare
bands 12 of 10
  • Easiest (band 1)
    Which is bigger, 5/6 or 1/6? Write the bigger one. 5/65/61/6
  • Hardest (band 2)
    Which is bigger, 3/5 or 3/4? Write the bigger one. 3/43/53/4
Elapsed time
time.elapsed
bands 34 of 10
  • Easiest (band 3)
    The bake starts at 7:50 and finishes at 8:30. How many minutes does it last? 4001530456075907:508:00
  • Hardest (band 4)
    The bake starts at 5:35 and finishes at 6:40. How many minutes does it last? 6501530456075901055:356:00
Coordinates
geometry.coordinates
bands 12 of 10
  • Easiest (band 1)
    What is the x-coordinate of point A? 4112233445566A
  • Hardest (band 2)
    What is the y-coordinate of point A? 11122334455667788A

Age 9England: Year 5 · Australia: Year 4 · United States: Grade 4 · New Zealand: Year 5 · Singapore: Primary 3

TopicQuestions this age actually gets
Tens and ones
place_value.ones_tens
bands 89 of 10
  • Easiest (band 8)
    What is the 5 worth in 57,314? 50000
  • Hardest (band 9)
    What is the 8 worth in 87,438? 80000
Number bonds
addition.number_bonds
bands 910 of 10
  • Easiest (band 9)
    500 + ? = 1000 500
  • Hardest (band 10)
    200 + ? = 1000 800
Addition
addition.core
bands 910 of 10
  • Easiest (band 9)
    982 + 440 = ? 1422
  • Hardest (band 10)
    4180 + 238 = ? 4418
Subtraction
subtraction.core
bands 910 of 10
  • Easiest (band 9)
    826 - 238 = ? 588
  • Hardest (band 10)
    5816 - 965 = ? 4851
Multiplication
multiplication.core
bands 56 of 10
  • Easiest (band 5)
    2 x 9 = ? 18
  • Hardest (band 6)
    21 x 4 = ? 84
Times tables
multiplication.basic_facts
bands 45 of 10
No tool yet — this topic is mapped but cannot be practised.
Division
division.core
bands 45 of 10
  • Easiest (band 4)
    27 / 9 = ? 3
  • Hardest (band 5)
    88 / 8 = ? 11
Money
money.core
bands 56 of 10
  • Easiest (band 5)
    a torch costs $1.80 and a rubber costs $8.90. How much for both? 10.70
  • Hardest (band 6)
    a puzzle book costs $4.85. How much for 5 of them? 24.25
Telling the time
time.core
bands 89 of 10
  • Easiest (band 8)
    Write 6:30 am as a 24-hour time. 06:30
  • Hardest (band 9)
    Write 11:40 am as a 24-hour time. 11:40
Fraction arithmetic
fractions.core
bands 13 of 10
  • Easiest (band 1)
    2/5 + 1/5 = ? 3/5
  • Hardest (band 3)
    1/2 + 1/2 = ? 1
Equivalent fractions
fractions.equivalent
bands 45 of 10
  • Easiest (band 4)
    5/6 = 25/? 30
  • Hardest (band 5)
    Write 15/18 in its simplest form. 5/6
Decimals
decimals.core
bands 34 of 10
  • Easiest (band 3)
    6.5 − 2.1 = 4.4
  • Hardest (band 4)
    8.01 + 9.36 = 17.37
Area and perimeter
geometry.area
bands 34 of 10
  • Easiest (band 3)
    How many squares is the area of this rectangle? 90
  • Hardest (band 4)
    What is the perimeter of this rectangle, in centimetres? 206 cm4 cm6 cm4 cm
Percentages
percentages.core
bands 13 of 10
  • Easiest (band 1)
    What is 50% of 10? 550% of the whole
  • Hardest (band 3)
    What is 75% of 16? 12
Number patterns
patterns_algebra.core
bands 45 of 10
  • Easiest (band 4)
    What comes next? 86, 76, 66, 56, ? 46
  • Hardest (band 5)
    37 + ? = 66 29
Measurement and units
measurement.core
bands 45 of 10
  • Easiest (band 4)
    3 kg = ? g 3000
  • Hardest (band 5)
    11 L = ? ml 11000
Charts and averages
statistics.core
bands 34 of 10
  • Easiest (band 3)
    How many votes altogether? 120123456CatsDogsFishBirds
  • Hardest (band 4)
    How many books altogether? 26024681012141618CatsDogsFishBirds
Chance and counting
probability.core
bands 34 of 10
  • Easiest (band 3)
    A bag holds 6 red, 1 blue and 2 yellow counters. How many of them are NOT red? 3
  • Hardest (band 4)
    A bag holds 17 counters. 8 are red and 3 are blue. The rest are yellow. How many are yellow? 6
Shapes
geometry.shapes
bands 89 of 10
  • Easiest (band 8)
    How many square corners (right angles) does this shape have? 0
  • Hardest (band 9)
    How many straight sides does this shape have? 6
Angles
geometry.angles
bands 45 of 10
  • Easiest (band 4)
    Read the protractor. How many degrees is this angle? 500306090120150180
  • Hardest (band 5)
    Read the protractor. How many degrees is this angle? 1300306090120150180
Number line
number_sense.number_line
bands 78 of 10
  • Easiest (band 7)
    What number is the arrow pointing at? -4-505?
  • Hardest (band 8)
    What number is the arrow pointing at? -10-20020?
Missing number
number_sense.missing_number
bands 67 of 10
  • Easiest (band 6)
    ? × 3 = 33 11
  • Hardest (band 7)
    ? ÷ 4 = 6 24
Rounding
place_value.rounding
bands 45 of 10
  • Easiest (band 4)
    Round 504 to the nearest 100. 500500550600504
  • Hardest (band 5)
    Round 4,183 to the nearest 100. 42004100415042004183
Comparing fractions
fractions.compare
bands 34 of 10
  • Easiest (band 3)
    Which is bigger, 1/4 or 3/4? Write the bigger one. 3/41/43/4
  • Hardest (band 4)
    Which is bigger, 1/2 or 1/10? Write the bigger one. 1/21/21/10
Fractions, decimals and percentages
fractions.decimal_percent
bands 13 of 10
  • Easiest (band 1)
    Write 1/2 as a percentage. 50the amount
  • Hardest (band 3)
    Write 90% as a decimal. 0.9the amount
Elapsed time
time.elapsed
bands 45 of 10
  • Easiest (band 4)
    The swimming class starts at 8:50 and finishes at 9:35. How many minutes does it last? 4501530456075901058:509:00
  • Hardest (band 5)
    The swimming class starts at 8:03 and finishes at 8:59. How many minutes does it last? 56
Coordinates
geometry.coordinates
bands 34 of 10
  • Easiest (band 3)
    What is the x-coordinate of point A? 61122334455667788991010A
  • Hardest (band 4)
    Point A moves 1 square to the right. What is its new x-coordinate? 101122334455667788991010A
Order of operations
patterns_algebra.order_of_operations
bands 13 of 10
  • Easiest (band 1)
    2 + 4 × 6 = 26
  • Hardest (band 3)
    7 − 25 ÷ 5 = 2
Volume and capacity
geometry.volume
bands 12 of 10
  • Easiest (band 1)
    How many cubes make up this shape? 27
  • Hardest (band 2)
    How many cubes make up this shape? 48

Age 10England: Year 6 · Australia: Year 5 · United States: Grade 5 · New Zealand: Year 6 · Singapore: Primary 4

TopicQuestions this age actually gets
Tens and ones
place_value.ones_tens
bands 910 of 10
  • Easiest (band 9)
    What is the 3 worth in 63,932? 3000
  • Hardest (band 10)
    What is the 9 worth in 90,756? 90000
Multiplication
multiplication.core
bands 78 of 10
  • Easiest (band 7)
    98 x 6 = ? 588
  • Hardest (band 8)
    46 x 60 = ? 2760
Division
division.core
bands 68 of 10
  • Easiest (band 6)
    93 / 3 = ? 31
  • Hardest (band 8)
    250 / 25 = ? 10
Money
money.core
bands 78 of 10
  • Easiest (band 7)
    a comic costs $0.99. How much for 3 of them? 2.97
  • Hardest (band 8)
    Something costs $48.43. You pay with $50.00. How much change? 1.57
Telling the time
time.core
bands 910 of 10
  • Easiest (band 9)
    It is 1:20. What time will it be in 1 hour? 2:20
  • Hardest (band 10)
    It is 10:01. What time will it be in 55 minutes? 10:56
Fraction arithmetic
fractions.core
bands 45 of 10
  • Easiest (band 4)
    2/3 + 1/6 = ? 5/6
  • Hardest (band 5)
    5/6 - 1/2 = ? 1/3
Equivalent fractions
fractions.equivalent
bands 68 of 10
  • Easiest (band 6)
    Write 6/8 in its simplest form. 3/4
  • Hardest (band 8)
    3/8 = ?/56 21
Decimals
decimals.core
bands 56 of 10
  • Easiest (band 5)
    8.40 − 0.72 = 7.68
  • Hardest (band 6)
    5.1 × 9 = 45.9
Area and perimeter
geometry.area
bands 56 of 10
  • Easiest (band 5)
    What is the area of this rectangle, in square centimetres? 246 cm4 cm6 cm4 cm
  • Hardest (band 6)
    What is the perimeter of this rectangle, in centimetres? 407 cm13 cm7 cm13 cm
Percentages
percentages.core
bands 45 of 10
  • Easiest (band 4)
    What is 10% of 60? 610% of the whole
  • Hardest (band 5)
    What is 20% of 35? 720% of the whole
Number patterns
patterns_algebra.core
bands 67 of 10
  • Easiest (band 6)
    47 + ? = 80 33
  • Hardest (band 7)
    7 × ? = 42 6
Measurement and units
measurement.core
bands 67 of 10
  • Easiest (band 6)
    1 hours = ? minutes 60
  • Hardest (band 7)
    2.5 km = ? m 2500
Charts and averages
statistics.core
bands 56 of 10
  • Easiest (band 5)
    What is the range of 9, 12, 12? 3
  • Hardest (band 6)
    What is the mean of 4, 9, 5? 6
Chance and counting
probability.core
bands 56 of 10
  • Easiest (band 5)
    A bag holds 22 counters. 5 are red and 7 are blue. The rest are yellow. How many are yellow? 10
  • Hardest (band 6)
    You have 3 different tops and 3 different pairs of shorts. How many different outfits can you make? 9
Shapes
geometry.shapes
bands 910 of 10
  • Easiest (band 9)
    How many square corners (right angles) does this shape have? 4
  • Hardest (band 10)
    How many straight sides does this shape have? 4
Angles
geometry.angles
bands 67 of 10
  • Easiest (band 6)
    Two angles sit on a straight line. One is 110°. How many degrees is the other? 70
  • Hardest (band 7)
    Two angles sit on a straight line. One is 65°. How many degrees is the other? 115
Number line
number_sense.number_line
bands 89 of 10
  • Easiest (band 8)
    Start at the dot and move 2 marks to the right. What number do you land on? -5-20020-15
  • Hardest (band 9)
    What number is the arrow pointing at? 3/501?
Missing number
number_sense.missing_number
bands 89 of 10
  • Easiest (band 8)
    ? ÷ 6 = 8 48
  • Hardest (band 9)
    64 ÷ ? = 8 8
Rounding
place_value.rounding
bands 67 of 10
  • Easiest (band 6)
    Round 6,641 to the nearest 1,000. 70006000650070006641
  • Hardest (band 7)
    Round 6.1 to the nearest whole number. 66.06.57.06.1
Comparing fractions
fractions.compare
bands 56 of 10
  • Easiest (band 5)
    Which is bigger, 1/10 or 1/3? Write the bigger one. 1/31/101/3
  • Hardest (band 6)
    Which is bigger, 1/5 or 11/20? Write the bigger one. 11/20
Fractions, decimals and percentages
fractions.decimal_percent
bands 45 of 10
  • Easiest (band 4)
    Write 0.84 as a percentage. 84
  • Hardest (band 5)
    Write 0.5 as a fraction in its simplest form. 1/2the amount
Elapsed time
time.elapsed
bands 67 of 10
  • Easiest (band 6)
    The match starts at 7:15 and lasts 10 minutes. What time does it finish? 7:25
  • Hardest (band 7)
    The train journey starts at 2:20 and lasts 20 minutes. What time does it finish? 2:40
Coordinates
geometry.coordinates
bands 56 of 10
  • Easiest (band 5)
    Point A moves 2 squares up. What is its new y-coordinate? 112244668810101212A
  • Hardest (band 6)
    What is the y-coordinate of point A? 2-5-5-4-4-3-3-2-2-1-11122334455A
Algebra basics
patterns_algebra.algebra
bands 13 of 10
  • Easiest (band 1)
    If n = 6, what is n + 9? 15
  • Hardest (band 3)
    If n = 2, what is 2n + 8? 12
Order of operations
patterns_algebra.order_of_operations
bands 45 of 10
  • Easiest (band 4)
    (6 + 6) × 7 = 84
  • Hardest (band 5)
    (5 + 2) × 5 = 35
Ratio and proportion
ratio.core
bands 13 of 10
  • Easiest (band 1)
    5 : 6 = 10 : ? 12
  • Hardest (band 3)
    Write this ratio as simply as it goes: 4 : 20 = ? : 5 1
Volume and capacity
geometry.volume
bands 34 of 10
  • Easiest (band 3)
    A cuboid is 4 cm long, 4 cm deep and 4 cm tall. What is its volume in cm³? 644 cm4 cm4 cm
  • Hardest (band 4)
    A cuboid is 4 cm long, 5 cm deep and 4 cm tall. What is its volume in cm³? 804 cm4 cm5 cm

Age 11England: Year 7 · Australia: Year 6 · United States: Grade 6 · New Zealand: Year 7 · Singapore: Primary 5

TopicQuestions this age actually gets
Multiplication
multiplication.core
bands 910 of 10
  • Easiest (band 9)
    314 x 8 = ? 2512
  • Hardest (band 10)
    220 x 81 = ? 17820
Division
division.core
bands 910 of 10
  • Easiest (band 9)
    440 / 22 = ? 20
  • Hardest (band 10)
    1121 / 59 = ? 19
Money
money.core
bands 910 of 10
  • Easiest (band 9)
    a torch costs $2.92. How much for 2 of them? 5.84
  • Hardest (band 10)
    Something costs $94.08. You pay with $100.00. How much change? 5.92
Fraction arithmetic
fractions.core
bands 68 of 10
  • Easiest (band 6)
    3/6 - 1/12 = ? 5/12
  • Hardest (band 8)
    5/6 - 3/4 = ? 1/12
Equivalent fractions
fractions.equivalent
bands 910 of 10
  • Easiest (band 9)
    Write 4/36 in its simplest form. 1/9
  • Hardest (band 10)
    Write 35/84 in its simplest form. 5/12
Decimals
decimals.core
bands 78 of 10
  • Easiest (band 7)
    0.46 × 9 = 4.14
  • Hardest (band 8)
    3.6 ÷ 6 = 0.6
Area and perimeter
geometry.area
bands 78 of 10
  • Easiest (band 7)
    This rectangle has an area of 56 square centimetres. One side is 7 cm. How long is the other side, in centimetres? 87 cm?
  • Hardest (band 8)
    This rectangle has an area of 108 square centimetres. One side is 12 cm. How long is the other side, in centimetres? 912 cm?
Percentages
percentages.core
bands 68 of 10
  • Easiest (band 6)
    14 out of 40 — what percentage is that? 35
  • Hardest (band 8)
    Reduce 14 by 50%. 7
Number patterns
patterns_algebra.core
bands 89 of 10
  • Easiest (band 8)
    A pattern starts at 4 and goes up by 4 each time. What is term number 8? 32
  • Hardest (band 9)
    4 × ? + 10 = 22 3
Measurement and units
measurement.core
bands 89 of 10
  • Easiest (band 8)
    3600 m = ? km 3.6
  • Hardest (band 9)
    5 m = ? mm 5000
Charts and averages
statistics.core
bands 78 of 10
  • Easiest (band 7)
    What is the mean of 7, 5, 7, 4, 2? 5
  • Hardest (band 8)
    What is the range of 16, 18, 17, 14, 10? 8
Chance and counting
probability.core
bands 78 of 10
  • Easiest (band 7)
    A bag holds 12 counters. 3 are red and 5 are blue. The rest are yellow. How many are yellow? 4
  • Hardest (band 8)
    A spinner has 5 equal sections and 4 of them are red. If you spin it 10 times, how many reds would you expect? 8
Angles
geometry.angles
bands 89 of 10
  • Easiest (band 8)
    Two angles in a triangle are 20° and 20°. How many degrees is the third? 140
  • Hardest (band 9)
    Three angles meet at a point and fill the whole turn. Two of them are 35° and 100°. How many degrees is the third? 225
Number line
number_sense.number_line
bands 910 of 10
  • Easiest (band 9)
    What number is the arrow pointing at? 5/20123?
  • Hardest (band 10)
    Start at the dot and move 1 mark to the right. What number do you land on? 2/30121/3
Missing number
number_sense.missing_number
bands 910 of 10
  • Easiest (band 9)
    ? − 34 = 124 158
  • Hardest (band 10)
    ? − 343 = 243 586
Rounding
place_value.rounding
bands 89 of 10
  • Easiest (band 8)
    Round 8.49 to the nearest whole number. 88.08.59.08.49
  • Hardest (band 9)
    Round 4.24 to the nearest tenth. 4.24.204.254.304.24
Comparing fractions
fractions.compare
bands 78 of 10
  • Easiest (band 7)
    Which is bigger, 3/8 or 7/24? Write the bigger one. 3/8
  • Hardest (band 8)
    Which is bigger, 1/8 or 3/5? Write the bigger one. 3/5
Fractions, decimals and percentages
fractions.decimal_percent
bands 68 of 10
  • Easiest (band 6)
    Write 25% as a fraction in its simplest form. 1/4the amount
  • Hardest (band 8)
    Write 75% as a fraction in its simplest form. 3/4the amount
Elapsed time
time.elapsed
bands 89 of 10
  • Easiest (band 8)
    The lesson finishes at 7:55 after 1 hour 20 minutes. What time did it start? 6:35
  • Hardest (band 9)
    The bake starts at 12:35 and lasts 55 minutes. What time does it finish? 13:30
Coordinates
geometry.coordinates
bands 78 of 10
  • Easiest (band 7)
    Point A moves 1 square to the right. What is its new x-coordinate? 4-6-6-5-5-4-4-3-3-2-2-1-1112233445566A
  • Hardest (band 8)
    Point A moves 2 squares to the right. What is its new x-coordinate? 3-8-8-6-6-4-4-2-222446688A
Algebra basics
patterns_algebra.algebra
bands 47 of 10
  • Easiest (band 4)
    n + 7 = 10. What is n? 3
  • Hardest (band 7)
    n ÷ 6 = 8. What is n? 48
Order of operations
patterns_algebra.order_of_operations
bands 68 of 10
  • Easiest (band 6)
    (2 + 28) ÷ 6 = 5
  • Hardest (band 8)
    9 × 8 + 5 × 7 = 107
Ratio and proportion
ratio.core
bands 45 of 10
  • Easiest (band 4)
    7 : 9 = ? : 45 35
  • Hardest (band 5)
    Share 8 stickers in the ratio 1 : 3. How many are in the first share? 21 parts and 3 parts — 4 altogether
Powers and roots
number_sense.powers
bands 13 of 10
  • Easiest (band 1)
    What is 3²? (3 squared) 9
  • Hardest (band 3)
    What is √36? (the square root of 36) 6
Volume and capacity
geometry.volume
bands 56 of 10
  • Easiest (band 5)
    A cuboid is 5 cm long, 2 cm deep and 5 cm tall. What is its volume in cm³? 505 cm5 cm2 cm
  • Hardest (band 6)
    A cuboid has a volume of 24 cm³. It is 2 cm long and 4 cm deep. How tall is it? 3
Solving equations
patterns_algebra.equations
bands 13 of 10
  • Easiest (band 1)
    3n + 3 = n + 19. What is n? 8
  • Hardest (band 3)
    3(n + 2) = 12. What is n? 2

Age 12England: Year 8 · Australia: Year 7 · United States: Grade 7 · New Zealand: Year 8 · Singapore: Primary 6

TopicQuestions this age actually gets
Fraction arithmetic
fractions.core
bands 910 of 10
  • Easiest (band 9)
    2/3 × 5/8 = ? 5/12
  • Hardest (band 10)
    1/6 ÷ 1/5 = ? 5/6
Decimals
decimals.core
bands 910 of 10
  • Easiest (band 9)
    159.84 ÷ 9 = 17.76
  • Hardest (band 10)
    11.39 × 8 = 91.12
Area and perimeter
geometry.area
bands 910 of 10
  • Easiest (band 9)
    This rectangle has a perimeter of 36 cm. One side is 6 cm. How long is the other side, in centimetres? 126 cm?
  • Hardest (band 10)
    What is the area of this rectangle, in square centimetres? 546 cm9 cm6 cm9 cm
Percentages
percentages.core
bands 910 of 10
  • Easiest (band 9)
    20% of a number is 8. What is the number? 40
  • Hardest (band 10)
    Increase 50 by 30%. 65
Number patterns
patterns_algebra.core
bands 910 of 10
  • Easiest (band 9)
    9 × ? + 8 = 62 6
  • Hardest (band 10)
    6 × ? = 30 5
Measurement and units
measurement.core
bands 910 of 10
  • Easiest (band 9)
    1000 mm = ? m 1
  • Hardest (band 10)
    1600 mm = ? m 1.6
Charts and averages
statistics.core
bands 910 of 10
  • Easiest (band 9)
    What is the mean of 16, 19, 17, 21, 17? 18
  • Hardest (band 10)
    What is the mean of 22, 22, 22, 21, 13? 20
Chance and counting
probability.core
bands 910 of 10
  • Easiest (band 9)
    You have 4 different tops and 6 different pairs of shorts. How many different outfits can you make? 24
  • Hardest (band 10)
    A spinner has 4 equal sections and 2 of them are red. If you spin it 12 times, how many reds would you expect? 6
Angles
geometry.angles
bands 910 of 10
  • Easiest (band 9)
    Three angles meet at a point and fill the whole turn. Two of them are 15° and 305°. How many degrees is the third? 40
  • Hardest (band 10)
    Two angles in a triangle are 25° and 10°. How many degrees is the third? 145
Rounding
place_value.rounding
bands 910 of 10
  • Easiest (band 9)
    Round 1.71 to the nearest tenth. 1.71.701.751.801.71
  • Hardest (band 10)
    Round 85.59 to the nearest whole number. 8685.085.586.085.59
Comparing fractions
fractions.compare
bands 910 of 10
  • Easiest (band 9)
    Which is bigger, 3/8 or 4/7? Write the bigger one. 4/7
  • Hardest (band 10)
    Which is bigger, 1/8 or 1/10? Write the bigger one. 1/8
Fractions, decimals and percentages
fractions.decimal_percent
bands 910 of 10
  • Easiest (band 9)
    Write 29/40 as a decimal. 0.725
  • Hardest (band 10)
    Write 1/50 as a decimal. 0.02
Elapsed time
time.elapsed
bands 910 of 10
  • Easiest (band 9)
    The bake starts at 09:50 and lasts 55 minutes. What time does it finish? 10:45
  • Hardest (band 10)
    The bus ride finishes at 11:17 after 1 hour 13 minutes. What time did it start? 10:04
Coordinates
geometry.coordinates
bands 910 of 10
  • Easiest (band 9)
    A, B and C are three corners of a rectangle. What is the x-coordinate of the fourth corner? 61122334455667788991010ABC
  • Hardest (band 10)
    A, B and C are three corners of a rectangle. What is the y-coordinate of the fourth corner? 0-6-6-5-5-4-4-3-3-2-2-1-1112233445566ABC
Algebra basics
patterns_algebra.algebra
bands 810 of 10
  • Easiest (band 8)
    2n + 8 = 14. What is n? 3
  • Hardest (band 10)
    If a = 6 and b = 11, what is 4a + 4b? 68
Order of operations
patterns_algebra.order_of_operations
bands 910 of 10
  • Easiest (band 9)
    (8 + 22) ÷ 6 + 4 = 9
  • Hardest (band 10)
    5 × 6 + 9 × 5 = 75
Ratio and proportion
ratio.core
bands 68 of 10
  • Easiest (band 6)
    Share 60 marbles in the ratio 2 : 3. How many are in the second share? 362 parts and 3 parts — 5 altogether
  • Hardest (band 8)
    Share 28 sweets in the ratio 3 : 4. How many are in the second share? 163 parts and 4 parts — 7 altogether
Powers and roots
number_sense.powers
bands 45 of 10
  • Easiest (band 4)
    What is 6²? (6 squared) 36
  • Hardest (band 5)
    What is 2³? (2 cubed) 8
Volume and capacity
geometry.volume
bands 78 of 10
  • Easiest (band 7)
    A container is 6 cm by 6 cm by 6 cm. 1 cm³ holds 1 ml, so how many millilitres does it hold? 216
  • Hardest (band 8)
    A cuboid is 9 cm long, 12 cm deep and 12 cm tall. What is its volume in cm³? 12969 cm12 cm12 cm
Pythagoras
geometry.pythagoras
bands 13 of 10
  • Easiest (band 1)
    The two short sides of this right-angled triangle are 9 and 12. How long is the longest side? 1512?9
  • Hardest (band 3)
    The two short sides of this right-angled triangle are 12 and 5. How long is the longest side? 135?12
Solving equations
patterns_algebra.equations
bands 45 of 10
  • Easiest (band 4)
    4(n − 3) = 28. What is n? 10
  • Hardest (band 5)
    7n + 6 = n + 72. What is n? 11
Trigonometry foundations
geometry.trigonometry
bands 13 of 10
  • Easiest (band 1)
    In this right-angled triangle, which side is the hypotenuse? Write the two letters, like PQ. PQPQRPQQRPR
  • Hardest (band 3)
    In this right-angled triangle, which side is next to the angle at P (the adjacent side, not the hypotenuse)? Write the two letters, like PQ. PRPQRPQQRPR

Age 13England: Year 9 · Australia: Year 8 · United States: Grade 8 · New Zealand: Year 9 · Singapore: Secondary 1

TopicQuestions this age actually gets
Ratio and proportion
ratio.core
bands 910 of 10
  • Easiest (band 9)
    Write this ratio as simply as it goes: 12 : 20 = ? : 5 3
  • Hardest (band 10)
    Share 156 stickers in the ratio 4 : 9. How many are in the second share? 108
Powers and roots
number_sense.powers
bands 68 of 10
  • Easiest (band 6)
    4 × 4 × 4 = 4 to the power of what? 3
  • Hardest (band 8)
    3⁴ × 3⁵ = 3 to the power of what? 9
Volume and capacity
geometry.volume
bands 910 of 10
  • Easiest (band 9)
    A container is 10 cm by 20 cm by 30 cm. How many litres does it hold? 6
  • Hardest (band 10)
    A cuboid is 6 cm long, 7 cm deep and 15 cm tall. What is its volume in cm³? 630
Pythagoras
geometry.pythagoras
bands 47 of 10
  • Easiest (band 4)
    The longest side of this right-angled triangle is 15 and one short side is 9. How long is the other short side? 121215?
  • Hardest (band 7)
    The two short sides of this right-angled triangle are 30 and 16. How long is the longest side? 3416?30
Solving equations
patterns_algebra.equations
bands 68 of 10
  • Easiest (band 6)
    n ÷ 3 + 5 = 6. What is n? 3
  • Hardest (band 8)
    8n + 7 = 2n + 85. What is n? 13
Trigonometry foundations
geometry.trigonometry
bands 47 of 10
  • Easiest (band 4)
    In this right-angled triangle, which side is opposite the angle at P? Write the two letters, like PQ. QRPQRPQQRPR
  • Hardest (band 7)
    The sides of this triangle are 21, 20 and 29. Write the tangent of the angle at Q as a fraction (tan = opposite ÷ adjacent). 20/21PQR292120

Age 14England: Year 10 · Australia: Year 9 · United States: Grade 9 · New Zealand: Year 10 · Singapore: Secondary 2

TopicQuestions this age actually gets
Powers and roots
number_sense.powers
bands 910 of 10
  • Easiest (band 9)
    5³ × 5⁴ = 5 to the power of what? 7
  • Hardest (band 10)
    6³ × 6⁴ = 6 to the power of what? 7
Pythagoras
geometry.pythagoras
bands 810 of 10
  • Easiest (band 8)
    The longest side of this right-angled triangle is 34 and one short side is 16. How long is the other short side? 303034?
  • Hardest (band 10)
    The longest side of this right-angled triangle is 37 and one short side is 35. How long is the other short side? 121237?
Solving equations
patterns_algebra.equations
bands 910 of 10
  • Easiest (band 9)
    6(n + 2) = n + 52. What is n? 8
  • Hardest (band 10)
    n ÷ 7 − 9 = 1. What is n? 70
Trigonometry foundations
geometry.trigonometry
bands 810 of 10
  • Easiest (band 8)
    The sides of this triangle are 60, 11 and 61. Write the sine of the angle at P as a fraction (sin = opposite ÷ hypotenuse). 60/61PQR616011
  • Hardest (band 10)
    The sides of this triangle are 60, 11 and 61. Write the sine of the angle at Q as a fraction (sin = opposite ÷ hypotenuse). 11/61PQR616011

Every topic, in one list

TopicAgesBuilds onTool?
Counting on
number_sense.counting_forward
ages 4 to 6Not yet
Tens and ones
place_value.ones_tens
ages 5 to 10number_sense.counting_forwardYes
Number bonds
addition.number_bonds
ages 5 to 9number_sense.counting_forwardYes
Addition
addition.core
ages 5 to 9addition.number_bonds, place_value.ones_tensYes
Subtraction
subtraction.core
ages 5 to 9addition.coreYes
Multiplication
multiplication.core
ages 7 to 11addition.coreYes
Times tables
multiplication.basic_facts
ages 7 to 9multiplication.coreNot yet
Division
division.core
ages 8 to 11multiplication.basic_factsYes
Recognising fractions
fractions.recognise
ages 6 to 8division.coreNot yet
Money
money.core
ages 7 to 11addition.core, subtraction.coreYes
Telling the time
time.core
ages 5 to 10multiplication.basic_facts, addition.coreYes
Fraction arithmetic
fractions.core
ages 9 to 12fractions.recognise, multiplication.basic_factsYes
Equivalent fractions
fractions.equivalent
ages 8 to 11fractions.recognise, multiplication.basic_factsYes
Decimals
decimals.core
ages 8 to 12place_value.ones_tens, addition.coreYes
Area and perimeter
geometry.area
ages 8 to 12multiplication.coreYes
Percentages
percentages.core
ages 9 to 12division.core, fractions.coreYes
Number patterns
patterns_algebra.core
ages 7 to 12addition.core, multiplication.coreYes
Measurement and units
measurement.core
ages 7 to 12place_value.ones_tens, multiplication.coreYes
Charts and averages
statistics.core
ages 8 to 12addition.core, division.coreYes
Chance and counting
probability.core
ages 8 to 12addition.core, multiplication.coreYes
Shapes
geometry.shapes
ages 5 to 10number_sense.counting_forwardYes
Angles
geometry.angles
ages 7 to 12geometry.shapesYes
Number line
number_sense.number_line
ages 5 to 11number_sense.counting_forwardYes
Missing number
number_sense.missing_number
ages 6 to 11addition.core, subtraction.coreYes
Rounding
place_value.rounding
ages 7 to 12place_value.ones_tens, number_sense.number_lineYes
Comparing fractions
fractions.compare
ages 8 to 12fractions.recognise, fractions.equivalentYes
Fractions, decimals and percentages
fractions.decimal_percent
ages 9 to 12fractions.equivalent, decimals.core, percentages.coreYes
Elapsed time
time.elapsed
ages 7 to 12time.core, addition.coreYes
Coordinates
geometry.coordinates
ages 8 to 12number_sense.number_line, geometry.shapesYes
Algebra basics
patterns_algebra.algebra
ages 10 to 12patterns_algebra.core, number_sense.missing_numberYes
Order of operations
patterns_algebra.order_of_operations
ages 9 to 12multiplication.core, division.coreYes
Ratio and proportion
ratio.core
ages 10 to 13fractions.equivalent, division.coreYes
Powers and roots
number_sense.powers
ages 11 to 14multiplication.core, patterns_algebra.order_of_operationsYes
Volume and capacity
geometry.volume
ages 9 to 13geometry.area, multiplication.coreYes
Pythagoras
geometry.pythagoras
ages 12 to 14number_sense.powers, geometry.anglesYes
Solving equations
patterns_algebra.equations
ages 11 to 14patterns_algebra.algebraYes
Trigonometry foundations
geometry.trigonometry
ages 12 to 14geometry.pythagoras, fractions.equivalentYes

Sending it back

Mark up the printout, or note the topic id — the short code under each name, like place_value.rounding — and what you would change it to. An age range and a sentence of reasoning is plenty; we do not need it in any particular format. Disagreement about a single question is just as useful as disagreement about a placement.

The levels wording

School levels are a guide only. They show where a skill is usually taught in each country and are not taken from, aligned to, or endorsed by any curriculum authority. Your school may cover it earlier or later.