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Term pack

Year 4 Maths

Name: ________________________

Skills in this pack

  • Numbers beyond a thousand
  • 6 times table
  • 7 times table
  • 8, 9 and 10 times tables
  • Decimal place value
  • Time and how long things last
  • Money problems
  • Perimeter: once round the outside
  • Area by counting squares
  • Shapes and symmetry

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Year 4 Maths · 1 of 10

Numbers beyond a thousand

Read, write, compare and round four-digit numbers.

Before you start

This line runs from four thousand to five thousand, and only every second tick is labelled. Find the numbers in between and see how far along each one sits.

400042004400460048005000

Halfway along is 4,500 — the number that decides which way everything between four and five thousand rounds.

  1. 1.What is the value of the digit 7 in 4,725?

  2. 2.Which number is the largest?

    • a) 7,208
    • b) 7,028
    • c) 7,802
    • d) 7,280

  3. 3.Which of these is six thousand and four?

    • a) 6040
    • b) 6004
    • c) 640
    • d) 6400

  4. 4.Round 3,482 to the nearest thousand.

  5. 5.Put these numbers in order, smallest first.

    • 2,905
    • 5,092
    • 5,029
    • 9,205
    • 2,950

  6. 6.Sort each number by whether it is nearer to 3,000 or nearer to 4,000.

    Groups: Nearer 3,000 · Nearer 4,000

    • 3,420
    • 3,050
    • 3,180
    • 3,750
    • 3,900
    • 3,610

  7. 7.Tap where 4,500 sits on this line.

    Mark the line with an X.

    400042004400460048005000

  8. 8.Round 3,482 to the nearest hundred.

Numbers beyond a thousand · Year 4 Maths · www.arenapublications.com/learn

Year 4 Maths · 2 of 10

6 times table

Recall the six times table up to 6 × 12.

  1. 1.6 × 3 = ?

  2. 2.Which one is 6 × 8?

    • a) 54
    • b) 46
    • c) 42
    • d) 48

  3. 3.Which times fact gives 54?

    • a) 6 × 8
    • b) 9 × 5
    • c) 8 × 7
    • d) 6 × 9

  4. 4.6 × 12 = ?

  5. 5.6 × 7 = ?

  6. 6.Put these six times facts in order, smallest answer first.

    • 6 × 7
    • 6 × 11
    • 6 × 2
    • 6 × 5

  7. 7.Match each times fact to its answer.

    • 6 × 2
    • 6 × 5
    • 6 × 8
    • 6 × 10
    • 60
    • 12
    • 30
    • 48

  8. 8.6 × 11 = ?

6 times table · Year 4 Maths · www.arenapublications.com/learn

Year 4 Maths · 3 of 10

7 times table

Recall the seven times table up to 7 × 12.

  1. 1.The line counts in sevens. Tap where 7 × 6 lands.

    Mark the line with an X.

    0142842567084

  2. 2.Which one is 7 × 7?

    • a) 47
    • b) 42
    • c) 56
    • d) 49

  3. 3.Which times fact gives 63?

    • a) 6 × 9
    • b) 7 × 9
    • c) 8 × 9
    • d) 7 × 8

  4. 4.Match each times fact to its answer.

    • 7 × 2
    • 7 × 5
    • 7 × 6
    • 7 × 10
    • 42
    • 14
    • 70
    • 35

  5. 5.7 × 9 = ?

  6. 6.7 × 3 = ?

  7. 7.Sort these numbers by whether they are in the 7 times table.

    Groups: In the 7 times table · Not in it

    • 21
    • 42
    • 45
    • 56
    • 30
    • 60

  8. 8.7 × 8 = ?

    • a) 49
    • b) 56
    • c) 54
    • d) 63

7 times table · Year 4 Maths · www.arenapublications.com/learn

Year 4 Maths · 4 of 10

8, 9 and 10 times tables

Recall the eight, nine and ten times tables up to 12.

  1. 1.Which one is 9 × 9?

    • a) 89
    • b) 72
    • c) 99
    • d) 81

  2. 2.Match each times fact to its answer.

    • 9 × 3
    • 9 × 5
    • 9 × 7
    • 9 × 8
    • 72
    • 27
    • 45
    • 63

  3. 3.9 × 6 = ?

  4. 4.8 × 7 = ?

  5. 5.Put these answers in order, smallest first.

    • 10 × 3
    • 9 × 3
    • 8 × 3
    • 8 × 6

  6. 6.10 × 12 = ?

  7. 7.Sort each number by whether it is in the 10 times table.

    Groups: In the 10 times table · Not in it

    • 45
    • 75
    • 90
    • 60

  8. 8.Tap where 9 × 4 lands.

    Mark the line with an X.

    09182736455463728190

8, 9 and 10 times tables · Year 4 Maths · www.arenapublications.com/learn

Year 4 Maths · 5 of 10

Decimal place value

Say what each digit is worth in a decimal number.

Before you start

This line runs from 0 to 1 in tenths. Look at where each tenth falls, and how much of the way along 0.7 really is.

0.00.10.20.30.40.50.60.70.80.91.0

Every decimal between 0 and 1 lives somewhere on this line. There is nothing beyond the ends of it, however many digits are written.

  1. 1.Put these in order, smallest first.

    • 0.09
    • 0.4
    • 0.75
    • 1.2

  2. 2.Put these in order, smallest first.

    • 0.11
    • 0.21
    • 0.1
    • 0.2

  3. 3.Put these in order, smallest first.

    • 2.4
    • 2.3
    • 2.03
    • 2.31

  4. 4.Which number is the largest?

    • a) 0.4999
    • b) 0.5
    • c) 0.45
    • d) 0.409

  5. 5.Sort each number by whether it is smaller or larger than 0.5.

    Groups: Smaller than 0.5 · Larger than 0.5

    • 0.55
    • 0.305
    • 0.499
    • 0.61
    • 0.72
    • 0.48

  6. 6.In 3.47, what is the 4 worth?

    • a) 4 tens
    • b) 4 tenths
    • c) 4 hundredths
    • d) 4 ones

  7. 7.What is 7.8 rounded to the nearest whole number?

    • a) 7.5
    • b) 8
    • c) 80
    • d) 7

  8. 8.Match each number to what its 3 is worth.

    • 0.35
    • 0.53
    • 3.5
    • 0.053
    • 0.003
    • 0.3
    • 0.03
    • 3

Decimal place value · Year 4 Maths · www.arenapublications.com/learn

Year 4 Maths · 6 of 10

Time and how long things last

Work out how long something lasts, including when it runs past the hour, and find a start or finish time from a duration.

  1. 1.A lesson starts at 9:20 am and ends at 10:05 am. How many minutes long is it?

  2. 2.A train leaves at 6:50 am and arrives at 9:20 am. How long is the journey, in minutes?

  3. 3.Match each start and finish time to how many minutes it lasts.

    • 10:00 to 10:20
    • 10:00 to 10:35
    • 9:45 to 10:30
    • 11:20 to 12:30
    • 20
    • 35
    • 45
    • 70

  4. 4.A film starts at 3:00 pm and ends at 4:45 pm. How many minutes long is it?

  5. 5.How many minutes are there in 3 hours?

  6. 6.A bus journey takes 35 minutes and must arrive at 8:15 am. At what time must the bus leave? Write it like 7:05.

  7. 7.A clock shows 7:45. What time will it be in 40 minutes?

    • a) 7:85
    • b) 8:15
    • c) 8:05
    • d) 8:25

  8. 8.How many minutes are there in two and a half hours?

Time and how long things last · Year 4 Maths · www.arenapublications.com/learn

Year 4 Maths · 7 of 10

Money problems

Add, subtract and multiply amounts of money, and work out the change from a payment.

  1. 1.Erasers cost £12 each. What do four of them cost altogether? Give just the number.

  2. 2.A book costs £135 and you pay with £200. How much change do you get? Give just the number.

  3. 3.A juice costs £24.50 and a sandwich costs £35.50. What do they cost together? Give just the number.

  4. 4.Work out what each purchase comes to, then sort it by whether that is less or more than £100.

    Groups: Less than £100 · More than £100

    • 4 erasers at £15 each
    • 6 pencils at £9 each
    • 2 bags at £80 each
    • 3 books at £45 each
    • 5 rulers at £25 each
    • 2 pens at £30 each

  5. 5.Put these amounts in order, smallest first.

    • £145
    • £405
    • £450
    • £54
    • £45

  6. 6.Match each purchase to what it costs altogether.

    • 3 pens at £12
    • 2 books at £45
    • 5 erasers at £8
    • 4 rulers at £16
    • 36
    • 64
    • 90
    • 40

  7. 7.A pen costs £18 and a notebook costs £25. What do the two cost together? Give just the number.

  8. 8.You buy 3 tickets at £75 each and pay with £250. How much change do you get? Give just the number.

Money problems · Year 4 Maths · www.arenapublications.com/learn

Year 4 Maths · 8 of 10

Perimeter: once round the outside

Find the perimeter of any straight-sided shape by adding the lengths of its sides, and work backwards to a missing side.

Before you start

An L-shaped garden, with every side drawn as its own strip. Find all of them, and count how many there are.

123456
  1. 1. The top side
  2. 2. The short side going down
  3. 3. The step across
  4. 4. The long side going down
  5. 5. The bottom side
  6. 6. The tall side up the left

Six sides, not four — the step in the middle adds two more, and leaving one of those out is the commonest way a perimeter goes wrong.

  1. 1.A square has a perimeter of 32 cm. How long is each side, in centimetres? Give just the number.

  2. 2.A regular octagon has a perimeter of 56 cm. How long is each side, in centimetres? Give just the number.

  3. 3.A rectangle is 12 cm long and 7 cm wide. What is its perimeter, in centimetres? Give just the number.

  4. 4.Every length here is in centimetres. Which shape has the largest perimeter?

    • a) A regular pentagon of side 5
    • b) A triangle with sides 7, 7 and 7
    • c) A square of side 6
    • d) A rectangle 8 by 3

  5. 5.Every length here is in centimetres. Put these shapes in order by perimeter, smallest first.

    • A square of side 4
    • A square of side 8
    • A rectangle 5 by 4
    • A regular hexagon of side 4
    • A square of side 3

  6. 6.A four-sided shape has sides of 3 cm, 7 cm, 4 cm and 9 cm. What is its perimeter, in centimetres? Give just the number.

  7. 7.Every length here is in centimetres. Sort each shape by whether its perimeter is below 30 or above 30.

    Groups: Perimeter below 30 · Perimeter above 30

    • A triangle with sides 8, 9 and 10
    • A rectangle 9 by 7
    • A square of side 6
    • A regular hexagon of side 6
    • A rectangle 10 by 4
    • A regular pentagon of side 7

  8. 8.A path goes right round a rectangular lawn 15 m long and 10 m wide. How far is it once round, in metres? Give just the number.

Perimeter: once round the outside · Year 4 Maths · www.arenapublications.com/learn

Year 4 Maths · 9 of 10

Area by counting squares

Measure the area of a shape on squared paper by counting the squares it covers, including half squares.

Before you start

Three shapes sit on the same grid of squares. Count the squares under each one and compare what you find with how big each shape looks.

123
  1. 1. Shape A
  2. 2. Shape B
  3. 3. Shape C

Shape B is the tallest and Shape C is the widest, but neither of those is what decides the area — only the count of squares does.

  1. 1.An L-shape is made of a rectangle 5 squares by 3 squares joined to a rectangle 2 squares by 2 squares. How many squares does it cover altogether?

  2. 2.Match each rectangle to the number of squares it covers.

    • 2 across and 3 down
    • 3 across and 3 down
    • 4 across and 5 down
    • 6 across and 6 down
    • 9
    • 36
    • 20
    • 6

  3. 3.A shape covers 20 full squares and 6 half squares. What is its area, in squares?

  4. 4.A shape covers 9 full squares and 4 half squares. What is its area, in squares?

  5. 5.Put these rectangles in order by how many squares they cover, fewest first.

    • 4 across and 4 down
    • 6 across and 5 down
    • 2 across and 5 down
    • 3 across and 4 down
    • 5 across and 4 down

  6. 6.A rectangle on squared paper is 7 squares across and 4 squares down. How many squares does it cover?

  7. 7.Which rectangle covers the most squares?

    • a) 3 across and 6 down
    • b) 4 across and 4 down
    • c) 5 across and 3 down
    • d) 2 across and 8 down

  8. 8.A rectangle covers 24 squares and is 6 squares across. How many squares tall is it?

Area by counting squares · Year 4 Maths · www.arenapublications.com/learn

Year 4 Maths · 10 of 10

Shapes and symmetry

Count the sides and corners of a shape, name the parts of a solid, find a line of symmetry, and cover a shape with smaller shapes.

Before you start

Here is a box drawn as a solid. Find a face, an edge and a corner on it.

123
  1. 1. A face
  2. 2. An edge
  3. 3. A corner

A corner is the one place where three edges come together at a point.

Take a tile from the tray and lay it on the hexagon. Cover the whole hexagon with one kind of tile, then clear it and try another kind.

  • Triangle, covers 1 triangle
  • Rhombus, covers 2 triangles
  • Half-hexagon, covers 3 triangles
  • Hexagon, covers 6 triangles

Six triangles, three rhombuses or two half-hexagons — every one of them fills the very same space.

  1. 1.How many faces does a cube have?

  2. 2.How many sides does a rectangle have?

  3. 3.Cover this shape completely, with no tile hanging over the edge.

    Draw lines inside the shape to show how the tiles below cover it.

    • Triangle, covers 1 triangle
    • Hexagon, covers 6 triangles

  4. 4.Half of this hexagon is already covered. Cover the rest of it.

    Draw lines inside the shape to show how the tiles below cover it.

    • Triangle, covers 1 triangle
    • Rhombus, covers 2 triangles
    • Half-hexagon, covers 3 triangles

  5. 5.Match each shape to how many sides it has.

    • Triangle
    • Square
    • Pentagon
    • Hexagon
    • 3
    • 6
    • 4
    • 5

  6. 6.How many rhombuses does it take to cover this hexagon exactly?

    Work out how many of the tile below cover the shape, and write the number.

    • Rhombus, covers 2 triangles

    Number of tiles:

  7. 7.Put these shapes in order, fewest sides first.

    • Pentagon
    • Triangle
    • Square
    • Hexagon

  8. 8.How many edges does a cube have?

Shapes and symmetry · Year 4 Maths · www.arenapublications.com/learn

Answer keys — Year 4 Maths

In the same order as the worksheets.

Numbers beyond a thousand

  1. 1. 700
  2. 2. c) 7,802
  3. 3. b) 6004
  4. 4. 3000
  5. 5. 1. 2,905 2. 2,950 3. 5,029 4. 5,092 5. 9,205
  6. 6. 3,180 → Nearer 3,000; 3,420 → Nearer 3,000; 3,610 → Nearer 4,000; 3,900 → Nearer 4,000; 3,050 → Nearer 3,000; 3,750 → Nearer 4,000
  7. 7. 4500
  8. 8. 3500

6 times table

  1. 1. 18
  2. 2. d) 48
  3. 3. d) 6 × 9
  4. 4. 72
  5. 5. 42
  6. 6. 1. 6 × 2 2. 6 × 5 3. 6 × 7 4. 6 × 11
  7. 7. 6 × 2 → 12; 6 × 5 → 30; 6 × 8 → 48; 6 × 10 → 60
  8. 8. 66

7 times table

  1. 1. 42
  2. 2. d) 49
  3. 3. b) 7 × 9
  4. 4. 7 × 2 → 14; 7 × 5 → 35; 7 × 6 → 42; 7 × 10 → 70
  5. 5. 63
  6. 6. 21
  7. 7. 21 → In the 7 times table; 30 → Not in it; 42 → In the 7 times table; 45 → Not in it; 56 → In the 7 times table; 60 → Not in it
  8. 8. b) 56

8, 9 and 10 times tables

  1. 1. d) 81
  2. 2. 9 × 3 → 27; 9 × 5 → 45; 9 × 7 → 63; 9 × 8 → 72
  3. 3. 54
  4. 4. 56
  5. 5. 1. 8 × 3 2. 9 × 3 3. 10 × 3 4. 8 × 6
  6. 6. 120
  7. 7. 60 → In the 10 times table; 75 → Not in it; 90 → In the 10 times table; 45 → Not in it
  8. 8. 36

Decimal place value

  1. 1. 1. 0.09 2. 0.4 3. 0.75 4. 1.2
  2. 2. 1. 0.1 2. 0.11 3. 0.2 4. 0.21
  3. 3. 1. 2.03 2. 2.3 3. 2.31 4. 2.4
  4. 4. b) 0.5
  5. 5. 0.48 → Smaller than 0.5; 0.72 → Larger than 0.5; 0.305 → Smaller than 0.5; 0.55 → Larger than 0.5; 0.499 → Smaller than 0.5; 0.61 → Larger than 0.5
  6. 6. b) 4 tenths
  7. 7. b) 8
  8. 8. 0.35 → 0.3; 0.53 → 0.03; 3.5 → 3; 0.053 → 0.003

Time and how long things last

  1. 1. 45
  2. 2. 150
  3. 3. 10:00 to 10:20 → 20; 10:00 to 10:35 → 35; 9:45 to 10:30 → 45; 11:20 to 12:30 → 70
  4. 4. 105
  5. 5. 180
  6. 6.
    • 7:40
    • 7.40
    • twenty to eight
    • 7:40 am
  7. 7. d) 8:25
  8. 8. 150

Money problems

  1. 1. 48
  2. 2. 65
  3. 3. 60
  4. 4. 2 pens at £30 each → Less than £100; 3 books at £45 each → More than £100; 4 erasers at £15 each → Less than £100; 5 rulers at £25 each → More than £100; 6 pencils at £9 each → Less than £100; 2 bags at £80 each → More than £100
  5. 5. 1. £45 2. £54 3. £145 4. £405 5. £450
  6. 6. 3 pens at £12 → 36; 2 books at £45 → 90; 5 erasers at £8 → 40; 4 rulers at £16 → 64
  7. 7. 43
  8. 8. 25

Perimeter: once round the outside

  1. 1. 8
  2. 2. 7
  3. 3. 38
  4. 4. a) A regular pentagon of side 5
  5. 5. 1. A square of side 3 2. A square of side 4 3. A rectangle 5 by 4 4. A regular hexagon of side 4 5. A square of side 8
  6. 6. 23
  7. 7. A square of side 6 → Perimeter below 30; A rectangle 10 by 4 → Perimeter below 30; A rectangle 9 by 7 → Perimeter above 30; A regular pentagon of side 7 → Perimeter above 30; A triangle with sides 8, 9 and 10 → Perimeter below 30; A regular hexagon of side 6 → Perimeter above 30
  8. 8. 50

Area by counting squares

  1. 1. 19
  2. 2. 2 across and 3 down → 6; 3 across and 3 down → 9; 4 across and 5 down → 20; 6 across and 6 down → 36
  3. 3. 23
  4. 4. 11
  5. 5. 1. 2 across and 5 down 2. 3 across and 4 down 3. 4 across and 4 down 4. 5 across and 4 down 5. 6 across and 5 down
  6. 6. 28
  7. 7. a) 3 across and 6 down
  8. 8. 4

Shapes and symmetry

  1. 1. 6
  2. 2. 4
  3. 3. any covering — e.g. 1 hexagon + 1 triangle
  4. 4. any covering — e.g. 1 half-hexagon
  5. 5. Triangle → 3; Square → 4; Pentagon → 5; Hexagon → 6
  6. 6. 3 rhombuses
  7. 7. 1. Triangle 2. Square 3. Pentagon 4. Hexagon
  8. 8. 12

Year 4 Maths · www.arenapublications.com/learn