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Cambridge Primary Maths: Stage 3

Stage 3 of the Cambridge Primary Mathematics (0096) curriculum framework, usually Year 3 (ages 7 to 8). Here is what each part asks, a practice question for each, and the mistakes that cost the most marks.

Practise Stage 3 as a game

The 50 parts of Stage 3

Each part with one practice question, made by the same engine your child plays.

Counting and sequences

Estimate up to 1000 objects

One scoop holds about 50 marbles.
A jar is filled with 8 scoops.
About how many marbles are in the jar?

  1. About 550
  2. About 400
  3. About 58
  4. About 300
Show the answer

About 400. 8 scoops of about 50: 8 × 50 = about 400. Estimating from one known amount is how big numbers of things are guessed well.

Count on and back in steps of a 1-digit number, tens or hundreds, from any number to 1000

What comes next?
125, 134, 143, 152, …

  1. 158
  2. 143
  3. 162
  4. 161
Show the answer

161. The numbers go up in 9s. 152 + 9 = 161.

Use odd and even to recognise and sort numbers

Which number is odd?

  1. 26
  2. 80
  3. 41
  4. 88
Show the answer

41. 41 ends in 1, so it is odd.

An object standing for an unknown in addition and subtraction

? + 1 = 10

  1. 11
  2. 9
  3. 1
  4. 14
Show the answer

9. 9 + 1 = 10.

Extend linear sequences and give the term-to-term rule

96, 87, 78, 69, …
The same number is taken away each time.
What number is it?

  1. 18
  2. 9
  3. 60
  4. 96
Show the answer

9. 87 is 96 − 9, and the same gap comes every time. The rule is "subtract 9".

Extend spatial patterns that grow by a constant

Step 1: ■
Step 2: ■■
Step 3: ■■■

The pattern grows the same way each step.
How many squares in step 6?

  1. 11
  2. 7
  3. 3
  4. 6
Show the answer

6. It grows by 1 each step: 1, 2, 3, 4, 5, 6. Step 6 has 6.

Integers and powers

Say, read and write numbers and number names to 1000

Which number is "eight hundred and seventy-seven"?

  1. 787
  2. 887
  3. 87
  4. 877
Show the answer

877. eight hundred and seventy-seven is written 877.

Addition is commutative and associative; use this to simplify

Which is the smartest way to work out 28 + 68 + 2?

  1. (28 + 68) × 2
  2. 28 × 68 + 2
  3. 28 + (68 − 2)
  4. (28 + 2) + 68
Show the answer

(28 + 2) + 68. Addition can be done in any order (it is commutative and associative). 28 + 2 = 30, a tidy number, and then + 68 = 98.

Complements of 100, and of multiples of 10 or 100 up to 1000

21 + ? = 100

  1. 89
  2. 21
  3. 80
  4. 79
Show the answer

79. 21 + 9 = 30, then on to 100. Altogether 79.

Estimate, add and subtract numbers with up to three digits

142 + 582 = ?

  1. 724
  2. 624
  3. 714
  4. 824
Show the answer

724. 142 + 582 = 724.

How multiplication and division undo each other

3 × 7 = 21.
Which division is ALSO true?

  1. 3 ÷ 7 = 21
  2. 21 ÷ 3 = 8
  3. 7 ÷ 21 = 3
  4. 21 ÷ 7 = 3
Show the answer

21 ÷ 7 = 3. Division undoes multiplication: 3 groups of 7 make 21, so 21 shared into groups of 7 gives 3. (21 ÷ 3 = 7 is true too.)

Multiplication is commutative and distributive; use this to simplify

Which is the smartest way to work out 21 + 34 + 9?

  1. 21 × 34 + 9
  2. 21 + (34 − 9)
  3. (21 + 34) × 9
  4. (21 + 9) + 34
Show the answer

(21 + 9) + 34. Addition can be done in any order (it is commutative and associative). 21 + 9 = 30, a tidy number, and then + 34 = 64.

The 1, 2, 3, 4, 5, 6, 8, 9 and 10 times tables

4 × 5 = ?

  1. 20
  2. 15
  3. 9
  4. 25
Show the answer

20. 4 lots of 5 is 20.

Estimate and multiply numbers up to 100 by 2, 3, 4 and 5

Which is the best ESTIMATE of 25 × 3?

  1. 28
  2. 90
  3. 120
  4. 900
Show the answer

90. Round 25 to 30, then 30 × 3 = 90.

Estimate and divide numbers up to 100 by 2, 3, 4 and 5

36 ÷ 3 = ?

  1. 16
  2. 11
  3. 12
  4. 33
Show the answer

12. Split 36 into parts that divide easily: 30 ÷ 3 = 10, and 6 ÷ 3 = 2. Together 12. Check: 12 × 3 = 36.

Recognise multiples of 2, 5 and 10 up to 1000

Which number is a multiple of 2?

  1. 105
  2. 975
  3. 521
  4. 932
Show the answer

932. Multiples of 2 end in 0, 2, 4, 6 or 8. 932 ÷ 2 = 466.

Money

Money notation with a decimal point

$1.05 + $3.00 = ?

  1. $3.05
  2. $5.05
  3. $4.05
  4. $3.95
Show the answer

$4.05. $1.05 + $3.00 = $4.05.

Add and subtract money to give change

You pay with $5.00 for something that costs $4.25.
How much change do you get?

  1. $4.25
  2. $0.85
  3. $0.75
  4. $1.75
Show the answer

$0.75. $5.00 − $4.25 = $0.75. Check: $4.25 + $0.75 = $5.00.

Place value, ordering and rounding

The value of each digit in numbers up to three digits

What is the value of the 7 in 879?

  1. 60
  2. 700
  3. 7
  4. 70
Show the answer

70. The 7 is in the tens place: 70.

Multiply whole numbers by 10 using place value

29 × 10 = ?

  1. 290
  2. 39
  3. 2,900
  4. 319
Show the answer

290. Every digit moves one place to the left and a zero holds the ones place: 290.

Make, split and regroup 3-digit numbers

428 = 4 hundreds + 1 tens + ? ones

  1. 8
  2. 18
  3. 80
  4. 9
Show the answer

18. One of the tens is regrouped as 10 ones: 8 + 10 = 18 ones.

Compare and order 3-digit numbers with =, > and <

Which statement is true?

  1. 649 > 469
  2. 469 = 649
  3. 649 < 469
  4. 469 > 649
Show the answer

649 > 469. Compare the hundreds, then the tens, then the ones. 649 is the bigger number, so 469 < 649. The open end of the sign faces the bigger number.

Round 3-digit numbers to the nearest 10 or 100

Round 571 to the nearest 100.

  1. 500
  2. 600
  3. 599
  4. 570
Show the answer

600. 571 is between 500 and 600. It is closer to 600.

Fractions, decimals, percentages, ratio and proportion

Fractions are equal parts of a shape, and all the parts make one whole

The questions for this part come with a picture or are played as a game, so they are best tried in Huh Lab.

Part and whole depend on relative size, not on shape or orientation

A square is cut corner to corner into two triangles.
Are the triangles halves of the square?

  1. Yes: they are equal parts of the whole
  2. Only if the square is turned
  3. No: triangles cannot be halves
  4. No: a half of a square must be a rectangle
Show the answer

Yes: they are equal parts of the whole. Any two EQUAL parts of a whole are halves, whatever their shape and whichever way up the whole is.

Fractions describe equal parts of a quantity or set

What is 3/4 of 12?

  1. 3
  2. 14
  3. 36
  4. 9
Show the answer

9. 12 ÷ 4 = 3. Then 3 × 3 = 9.

A fraction as numerator divided by denominator (half, quarter, three-quarters)

Which fraction is the same as 2 ÷ 3?

  1. 2/3
  2. 3/2
  3. 1/3
  4. 2/5
Show the answer

2/3. A fraction IS a division: the top divided by the bottom. 2 ÷ 3 = 2/3.

Half, quarter, three-quarters, third and tenth as operators

What is 3/4 of 36?

  1. 27
  2. 33
  3. 108
  4. 9
Show the answer

27. 36 ÷ 4 = 9. Then 9 × 3 = 27.

Two fractions can be equal: halves, quarters, fifths, tenths

Which fraction is equal to 1/2?

  1. 1/4
  2. 5/10
  3. 2/3
  4. 1/10
Show the answer

5/10. Multiply the top and the bottom by 5: 1/2 = 5/10.

Add and subtract fractions with the same denominator, within one whole

8/12 − 4/12 = ?

  1. 4/24
  2. 12/12
  3. 4/12
  4. 5/12
Show the answer

4/12. The parts are the same size (12ths), so just subtract how many there are: 8 − 4 = 4. The denominator stays 12.

Compare and order unit fractions and same-denominator fractions with =, > and <

The questions for this part come with a picture or are played as a game, so they are best tried in Huh Lab.

Time

Choose a sensible unit of time for an activity

A blink takes about 1 ___.
Which unit fits?

  1. week
  2. year
  3. second
  4. month
Show the answer

second. A blink takes about 1 second. The other units would make it far too short or far too long.

Read and record time accurately, digital and analogue

The questions for this part come with a picture or are played as a game, so they are best tried in Huh Lab.

Read and use 12-hour timetables

The questions for this part come with a picture or are played as a game, so they are best tried in Huh Lab.

A time is not a time interval; intervals in days, weeks, months and years

How many months are there in 5 years?

  1. 60
  2. 72
  3. 1825
  4. 50
Show the answer

60. A year has 12 months: 5 × 12 = 60.

Geometrical reasoning, shapes and measurements

Classify, name and sketch 2D shapes; regular and irregular polygons

The questions for this part come with a picture or are played as a game, so they are best tried in Huh Lab.

Estimate and measure in cm, m and km; how the units relate

4,000 ml = ? l

  1. 5 l
  2. 40 l
  3. 4 l
  4. 4,000 l
Show the answer

4 l. 1,000 ml make 1 l, so 4,000 ÷ 1,000 = 4 l.

Perimeter is the distance around; area is the space inside

The questions for this part come with a picture or are played as a game, so they are best tried in Huh Lab.

Draw rectangles and squares; find perimeter, and area on a square grid

The questions for this part come with a picture or are played as a game, so they are best tried in Huh Lab.

Identify, sort, name and sketch 3D shapes by their properties

Which of these is a 3D (solid) shape?

  1. triangle
  2. hexagon
  3. triangular prism
  4. square
Show the answer

triangular prism. A triangular prism is solid: you could pick it up. A square, a triangle and a hexagon are flat.

Estimate and measure mass in g and kg; how the units relate

2,000 g = ? kg

  1. 2 kg
  2. 2,000 kg
  3. 3 kg
  4. 20 kg
Show the answer

2 kg. 1,000 g make 1 kg, so 2,000 ÷ 1,000 = 2 kg.

Estimate and measure capacity in ml and l; how the units relate

8 km = ? m

  1. 1,008 m
  2. 800 m
  3. 80 m
  4. 8,000 m
Show the answer

8,000 m. 1 km = 1,000 m, so 8 km = 8 × 1,000 = 8,000 m.

Recognise pictures and drawings of 3D shapes

The questions for this part come with a picture or are played as a game, so they are best tried in Huh Lab.

Horizontal and vertical lines of symmetry

The questions for this part come with a picture or are played as a game, so they are best tried in Huh Lab.

Compare angles with a right angle; a straight line is two right angles

The questions for this part come with a picture or are played as a game, so they are best tried in Huh Lab.

Position and transformation

Describe position, direction and movement, with compass points

Which direction is exactly half way between east and south?

  1. south-east
  2. north-east
  3. north-west
  4. south-west
Show the answer

south-east. Half way between east and south is south-east: the name is made from the two it sits between.

Reflect a 2D shape in a horizontal or vertical mirror line

The questions for this part come with a picture or are played as a game, so they are best tried in Huh Lab.

Statistics

Record and show data: Venn, Carroll, tally charts, frequency tables, pictograms, bar charts

Which is the best way to show which shapes are red AND which have 4 sides, sorted two ways?

  1. A line graph
  2. A tally chart
  3. A pictogram
  4. A Carroll diagram
Show the answer

A Carroll diagram. Counts of each thing: a bar chart or frequency table. Things that belong to two groups at once: a Venn diagram. Sorting two ways (yes/no and yes/no): a Carroll diagram.

Interpret data: what is alike and what varies within a data set

The questions for this part come with a picture or are played as a game, so they are best tried in Huh Lab.

Probability

Language of chance: will happen, will not happen, might happen

"A dog will fly to the moon today."
Is this something that...

  1. might happen
  2. will not happen
  3. will happen
  4. has already happened
Show the answer

will not happen. This is impossible: it can never happen.

The mistakes that cost the most marks

Huh Lab checks every wrong answer against known mistakes like these, and goes back to the step behind the one your child keeps making.

Mixes up perimeter and area

Perimeter is the fence around it. Area is the grass inside.

Adds when the question needs times

5 scoops of 100 is 100 five times, which is 5 × 100, not 5 + 100.

Adds only two sides for perimeter

Trace all the way round the shape with a finger while counting sides.

Writes the fraction upside down

The bottom number is how many equal parts the whole is cut into.

Reads the digit, not its value

In 47 the 4 is four TENS. Say the number aloud in tens and ones.

Reads the clock hands the wrong way round

The SHORT hand shows the hour, the LONG hand the minutes.

Counts a shared square twice

The corner belongs to both arms: count it once.

Writes a division the wrong way round

The biggest number (the total) comes first in a division: 42 ÷ 6, not 6 ÷ 42.

Other Cambridge Primary Maths stages

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Short rounds on any topic, a new question every time, the exact mistake found, and a report to you after every session.

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