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Term pack

Class 5 Maths

Name: ________________________

Skills in this pack

  • Numbers up to six digits
  • Multiplying and dividing larger numbers
  • Factor pairs and multiples
  • Number patterns
  • Unlike fractions and mixed numbers
  • Decimal place value
  • Adding and subtracting decimals
  • Area and perimeter
  • Volume with unit cubes
  • Angles and the protractor
  • Nets of solids
  • Averages
  • Bar graphs with scales
  • How much for one?

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Class 5 Maths · 1 of 14

Numbers up to six digits

Read, compare, order and round whole numbers up to six digits.

Before you start

This line runs from zero to one hundred thousand in steps of ten thousand. Look at where each number falls, and how far apart the steps are.

020000400006000080000100000

Every one of those steps is ten thousand. A six-digit number is a whole line like this one and then more.

  1. 1.What number is 10000 more than 236500?

  2. 2.Match each number to what its 5 is worth.

    • 25130
    • 51302
    • 13052
    • 10325
    • 13520
    • 5
    • 5000
    • 50000
    • 500
    • 50

  3. 3.Sort each number by how many digits it has.

    Groups: Five digits or fewer · Six digits

    • 150000
    • 99999
    • 98760
    • 100001
    • 234000
    • 87654

  4. 4.Which digit is in the ten thousands place in 605218?

    • a) 5
    • b) 6
    • c) 2
    • d) 0

  5. 5.47382 lies between two hundreds. Tap the hundred it rounds to.

    Mark the line with an X.

    470004750048000

  6. 6.In 348617, what is the 4 worth?

    • a) 4 hundred thousands
    • b) 4 ten thousands
    • c) 4 thousands
    • d) 4 hundreds

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

    • 84025
    • 48250
    • 84205
    • 48520

  8. 8.What is the value of the 7 in 273481?

Numbers up to six digits · Class 5 Maths · www.arenapublications.com/learn

Class 5 Maths · 2 of 14

Multiplying and dividing larger numbers

Multiply by a two-digit number, divide with a remainder, and multiply or divide by 10, 100 and 1000.

  1. 1.34 × 100 = ?

  2. 2.7200 ÷ 10 = ?

  3. 3.96 ÷ 8 = ?

  4. 4.Sort each division by whether anything is left over.

    Groups: Divides exactly · Leaves a remainder

    • 60 ÷ 5
    • 73 ÷ 9
    • 43 ÷ 5
    • 84 ÷ 7
    • 90 ÷ 6
    • 50 ÷ 8

  5. 5.125 × 12 = ?

  6. 6.What is the remainder when 47 is divided by 6?

  7. 7.23 × 14 = ?

  8. 8.56 × 1000 = ?

Multiplying and dividing larger numbers · Class 5 Maths · www.arenapublications.com/learn

Class 5 Maths · 3 of 14

Factor pairs and multiples

Find the factor pairs of a number, list its multiples, and spot factors and multiples two numbers share.

  1. 1.20 tiles are laid out in equal rows of 4. How many rows are there?

  2. 2.Exactly one number on this line is a multiple of 9. Tap it.

    Mark the line with an X.

    2021222324252627282930

  3. 3.Sort each number by whether it divides 36 exactly.

    Groups: A factor of 36 · Not a factor of 36

    • 5
    • 15
    • 4
    • 6
    • 24
    • 9
    • 8
    • 12

  4. 4.Match each number to a factor pair that makes it.

    • 16
    • 18
    • 20
    • 21
    • 25
    • 2 × 8
    • 3 × 7
    • 4 × 5
    • 5 × 5
    • 3 × 6

  5. 5.What is the largest number that is a factor of both 12 and 18?

  6. 6.What is the smallest number that is a multiple of both 4 and 6?

  7. 7.12 = 3 × ? What is the missing factor?

  8. 8.What is the fifth multiple of 8?

Factor pairs and multiples · Class 5 Maths · www.arenapublications.com/learn

Class 5 Maths · 4 of 14

Number patterns

Work out the rule behind a pattern of numbers and carry the pattern on.

Before you start

This line starts at 1 and every mark along it is 4 further on. Move from mark to mark and see which numbers the pattern lands on.

1917253341

Once you know what happens between two neighbouring marks you know every number on the line, however far along it you go. Finding the rule is the work; the next number then costs nothing.

  1. 1.A pattern goes 12, 16, 20 and carries on. Tap the number that comes next.

    Mark the line with an X.

    1012141618202224262830

  2. 2.What is the rule for 2, 5, 8, 11, 14?

    • a) Add 3
    • b) Add 4
    • c) Add 2
    • d) Multiply by 2

  3. 3.What comes next? 100, 90, 81, 73, ?

  4. 4.What comes next? 1, 1, 2, 3, 5, 8, ?

  5. 5.What comes next? 1, 4, 9, 16, ?

  6. 6.What is the missing number? 45, 40, ?, 30, 25

  7. 7.What is the missing number? 6, 12, ?, 24, 30

  8. 8.A pattern of squares grows: 1 square, then 4, then 9. How many squares are in the next step?

    • a) 16
    • b) 20
    • c) 14
    • d) 12

Number patterns · Class 5 Maths · www.arenapublications.com/learn

Class 5 Maths · 5 of 14

Unlike fractions and mixed numbers

Add and subtract fractions with different denominators, and swap between mixed numbers and improper fractions.

  1. 1.Sort each fraction by how it compares with a half.

    Groups: Less than a half · More than a half

    • 5/8
    • 1/6
    • 7/10
    • 1/3
    • 3/4
    • 2/5

  2. 2.5/6 - 1/2 = ? Write your answer in its simplest form.

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

    • 1/2
    • 1/6
    • 1/3
    • 2/3

  4. 4.1/2 + 1/5 = ? Write your answer as a fraction.

  5. 5.A film lasts 3 1/2 hours, and 1 1/4 hours of it have been watched. How much is left? Write your answer as a mixed number.

  6. 6.Which of these fractions is the largest?

    • a) 3/8
    • b) 2/5
    • c) 1/2
    • d) 1/3

  7. 7.3/4 - 1/8 = ? Write your answer as a fraction.

  8. 8.Three eighths of a cake are eaten in the morning and two eighths in the afternoon. What fraction of the cake has been eaten? Write your answer as a fraction.

Unlike fractions and mixed numbers · Class 5 Maths · www.arenapublications.com/learn

Class 5 Maths · 6 of 14

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.What is 7.8 rounded to the nearest whole number?

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

  2. 2.How many thousandths are the same as 0.46?

  3. 3.Which number is the largest?

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

  4. 4.In 12.905, which digit is in the hundredths place?

    • a) 0
    • b) 2
    • c) 9
    • d) 5

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

    • 2.3
    • 2.03
    • 2.4
    • 2.31

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

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

  7. 7.In 5.062, what is the 6 worth?

    • a) 6 tenths
    • b) 6 ones
    • c) 6 thousandths
    • d) 6 hundredths

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

    • 0.11
    • 0.2
    • 0.1
    • 0.21

Decimal place value · Class 5 Maths · www.arenapublications.com/learn

Class 5 Maths · 7 of 14

Adding and subtracting decimals

Add and subtract numbers with tenths and hundredths by keeping the columns lined up.

Before you start

This line runs from 0 to 1. The numbered ticks are tenths, and the plain ticks between them fall halfway again. Look at how far apart 0.05 and 0.5 really are.

0.000.100.200.300.400.500.600.700.800.901.00

Ten hundredths make one tenth. That is why 0.5 is far bigger than 0.05, even though both are written with a 5.

  1. 1.4.6 + 2.35 = ?

  2. 2.Match each subtraction to its answer.

    • 1 - 0.4
    • 1 - 0.25
    • 1 - 0.05
    • 1 - 0.9
    • 1 - 0.5
    • 0.1
    • 0.75
    • 0.95
    • 0.6
    • 0.5

  3. 3.Tap where 2.6 + 0.7 lands.

    Mark the line with an X.

    2.02.53.03.54.0

  4. 4.2.5 + 1.3 = ?

  5. 5.One jug holds 1.5 litres and another holds 0.75 litres. How much do they hold together, in litres? Give just the number.

  6. 6.A notebook costs ₹12.50 and a pencil costs ₹4.25. What do they cost together? Give just the number.

  7. 7.0.75 + 0.25 = ?

  8. 8.Work each one out, then put them in order, smallest answer first.

    • 2.5 - 0.4
    • 3.6 - 0.7
    • 1.9 + 0.5
    • 1.2 + 0.3

Adding and subtracting decimals · Class 5 Maths · www.arenapublications.com/learn

Class 5 Maths · 8 of 14

Area and perimeter

Work out the area and perimeter of a rectangle.

  1. 1.A rectangle is 5 cm long and 3 cm wide. What is its area, in square centimetres?

  2. 2.A square has sides of 6 cm. What is its perimeter, in centimetres?

  3. 3.Every rectangle here is measured in centimetres. Sort them by whether the area is below 30 square centimetres or above it.

    Groups: Below 30 · Above 30

    • 5 by 5
    • 7 by 5
    • 3 by 4
    • 6 by 6
    • 2 by 8
    • 4 by 9

  4. 4.Every rectangle here is measured in centimetres. Which one has the largest perimeter?

    • a) 3 by 9
    • b) 4 by 7
    • c) 2 by 6
    • d) 5 by 5

  5. 5.A square has sides of 6 cm. What is its area, in square centimetres?

  6. 6.A rectangle has an area of 24 square centimetres and a length of 6 cm. How wide is it, in centimetres?

  7. 7.A rectangle is 12 cm by 7 cm. What is its area, in square centimetres?

  8. 8.A rectangle is 5 cm long and 3 cm wide. What is its perimeter, in centimetres?

Area and perimeter · Class 5 Maths · www.arenapublications.com/learn

Class 5 Maths · 9 of 14

Volume with unit cubes

Find the volume of a box by counting the unit cubes that fill it.

  1. 1.Put these boxes in order, starting with the one that holds the fewest unit cubes.

    • 2 by 3 by 3
    • 2 by 2 by 3
    • 3 by 3 by 3
    • 3 by 4 by 3

  2. 2.A tower is built from 3 layers, and each layer holds 4 cubes. How many cubes is that altogether?

  3. 3.Match each box to the number of unit cubes that fill it.

    • 2 by 2 by 2
    • 2 by 3 by 2
    • 3 by 3 by 2
    • 4 by 3 by 2
    • 5 by 4 by 2
    • 40
    • 8
    • 24
    • 18
    • 12

  4. 4.A cube measures 3 unit cubes along every edge. How many unit cubes is it built from?

    • a) 81
    • b) 18
    • c) 9
    • d) 27

  5. 5.A box holds 20 unit cubes in a single layer. Filled 4 layers deep, how many unit cubes does it hold?

  6. 6.Work out each box, then sort it by how many unit cubes it holds.

    Groups: Fewer than 24 cubes · 24 cubes or more

    • 5 by 5 by 1
    • 1 by 3 by 6
    • 2 by 2 by 5
    • 3 by 4 by 2
    • 2 by 2 by 4
    • 4 by 4 by 2

  7. 7.A cuboid is built from 36 unit cubes in 3 equal layers. How many cubes are in each layer?

  8. 8.A cuboid is built from 2 layers. Each layer is 6 cubes long and 2 cubes wide. How many cubes are there altogether?

Volume with unit cubes · Class 5 Maths · www.arenapublications.com/learn

Class 5 Maths · 10 of 14

Angles and the protractor

Name an angle as acute, right, obtuse or straight, and measure one with a protractor.

  1. 1.How many right angles make a full turn?

  2. 2.An angle measures 45°. What kind of angle is it?

    • a) Acute
    • b) Straight
    • c) Right
    • d) Obtuse

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

    • 90°
    • 70°
    • 25°
    • 135°
    • 170°

  4. 4.Match each angle to what it is called.

    • 40°
    • 90°
    • 120°
    • 180°
    • Straight
    • Acute
    • Obtuse
    • Right

  5. 5.An angle is a third of a half turn. How many degrees is it?

  6. 6.Sort each angle by its name.

    Groups: Acute · Obtuse

    • 30°
    • 89°
    • 95°
    • 175°
    • 12°
    • 150°

  7. 7.Two angles sit side by side on a straight line. One of them is 65°. How big is the other, in degrees?

  8. 8.An angle measures 130°. What kind of angle is it?

    • a) Straight
    • b) Obtuse
    • c) Acute
    • d) Right

Angles and the protractor · Class 5 Maths · www.arenapublications.com/learn

Class 5 Maths · 11 of 14

Nets of solids

Say which solid a net folds into, and which flat shapes a solid's net is made from.

Before you start

Here is a cube opened out flat. Find out which face of the finished cube each flat square folds up to become.

123456
  1. 1. The top
  2. 2. The left-hand face
  3. 3. The front
  4. 4. The right-hand face
  5. 5. The back
  6. 6. The bottom

The front stays where it is and the other five fold up around it. Six squares and six faces, each appearing exactly once — a net with a square missing or a square repeated folds into nothing at all.

  1. 1.A net has six rectangles and not one of them is a square. Write the name of the solid it folds into.

  2. 2.The net of a triangular prism has two triangles and some rectangles. How many rectangles does it have?

  3. 3.Sort each solid by whether any part of its net is curved.

    Groups: Net is all straight-sided · Net has a curved piece

    • Square-based pyramid
    • Cube
    • Cuboid
    • Cone
    • Cylinder
    • Triangular prism

  4. 4.A net folds up into a cuboid. How many rectangles does the net have?

  5. 5.A net is made of one circle and one curved piece. Which solid does it fold into?

    • a) Triangular prism
    • b) Cone
    • c) Cylinder
    • d) Cuboid

  6. 6.A net is made of one square and four triangles. Which solid does it fold into?

    • a) Triangular prism
    • b) Cube
    • c) Cylinder
    • d) Square-based pyramid

  7. 7.A cylinder is unfolded into its net. Write the name of the flat shape that appears twice in it.

  8. 8.This net folds up into a cube. The first square in the row is marked. Tap the square that will end up opposite the marked one.

    Write the number of the part.

    12345

Nets of solids · Class 5 Maths · www.arenapublications.com/learn

Class 5 Maths · 12 of 14

Averages

Find the average of a small set of numbers by sharing the total out equally.

  1. 1.Match each pair of numbers to its average.

    • 2, 4
    • 4, 6
    • 6, 10
    • 10, 14
    • 14, 20
    • 5
    • 8
    • 12
    • 17
    • 3

  2. 2.Which of these sets of numbers has an average of 5?

    • a) 4, 6, 8
    • b) 1, 5, 9
    • c) 3, 5, 8
    • d) 2, 4, 6

  3. 3.Three children have 5, 8 and 11 stickers. They share them all out equally. How many does each child end up with?

  4. 4.Find the average of 4, 6 and 8.

  5. 5.Two numbers have an average of 9. One of them is 6. What is the other?

  6. 6.A player scores 20, 30 and 40 points in three games. What is the average score?

  7. 7.Work out each average, then put the sets in order, smallest average first.

    • 8, 10, 12
    • 5, 6, 7
    • 2, 4, 6
    • 1, 2, 3

  8. 8.Three parcels weigh 2 kg, 5 kg and 8 kg. What is their average mass, in kilograms? Give just the number.

Averages · Class 5 Maths · www.arenapublications.com/learn

Class 5 Maths · 13 of 14

Bar graphs with scales

Read values off a bar graph whose scale counts in steps of more than one, and choose a sensible scale of your own.

  1. 1.A bar graph's scale counts in tens. A bar reaches exactly halfway between 30 and 40. What number does it show?

  2. 2.A graph has ten lines above zero and the largest number to show is 45. Which scale fits best?

    • a) 5 for each line
    • b) 1 for each line
    • c) 20 for each line
    • d) 2 for each line

  3. 3.A bar graph's scale counts in fours. Put these bars in order, shortest first.

    • 7 lines up
    • 5 lines up
    • 3 lines up
    • 2 lines up

  4. 4.A bar graph has four bars, showing 60, 45, 30 and 25. What do the four bars add up to?

  5. 5.This bar graph shows how many books four classes read. Tap the bar for the class that read the most.

    Write the number of the part.

    1234

  6. 6.A bar graph's scale counts in fives. Match each bar to the number it shows.

    • 2 lines up
    • 3 lines up
    • 5 lines up
    • 8 lines up
    • 12 lines up
    • 60
    • 10
    • 15
    • 25
    • 40

  7. 7.A bar graph's scale counts in fives. Sort each value by whether its bar lands exactly on a marked line.

    Groups: Lands on a line · Lands between two lines

    • 8
    • 22
    • 40
    • 35
    • 15
    • 13

  8. 8.A bar graph's scale counts in twos. A bar is level with the seventh line above zero. What number does it show?

Bar graphs with scales · Class 5 Maths · www.arenapublications.com/learn

Class 5 Maths · 14 of 14

How much for one?

Find what one thing costs or weighs, then use it to work out any number of them.

  1. 1.4 pens cost ₹60. What do 7 pens cost? Give just the number.

  2. 2.5 tickets cost ₹200. What do 3 tickets cost? Give just the number.

  3. 3.Which of these is better value?

    • a) 8 pencils for ₹40
    • b) There is no way to tell
    • c) They cost the same each
    • d) 5 pencils for ₹30

  4. 4.Work out what one costs in each deal, then sort the deals.

    Groups: One costs less than ₹10 · One costs ₹10 or more

    • 2 for ₹30
    • 5 for ₹60
    • 6 for ₹42
    • 3 for ₹27
    • 4 for ₹24
    • 4 for ₹80

  5. 5.9 apples cost ₹72. What does one apple cost?

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

  6. 6.Match each deal to what one item costs.

    • 2 for ₹18
    • 3 for ₹18
    • 4 for ₹20
    • 5 for ₹60
    • 6 for ₹90
    • 9
    • 5
    • 6
    • 12
    • 15

  7. 7.A recipe uses 12 spoons of sugar for 4 cakes. How many spoons are needed for 7 cakes?

  8. 8.6 identical books weigh 18 kg altogether. What does 1 book weigh, in kilograms? Give just the number.

How much for one? · Class 5 Maths · www.arenapublications.com/learn

Answer keys — Class 5 Maths

In the same order as the worksheets.

Numbers up to six digits

  1. 1. 246500
  2. 2. 25130 → 5000; 51302 → 50000; 13052 → 50; 10325 → 5; 13520 → 500
  3. 3. 98760 → Five digits or fewer; 100001 → Six digits; 87654 → Five digits or fewer; 234000 → Six digits; 99999 → Five digits or fewer; 150000 → Six digits
  4. 4. d) 0
  5. 5. 47400
  6. 6. b) 4 ten thousands
  7. 7. 1. 48250 2. 48520 3. 84025 4. 84205
  8. 8. 70000

Multiplying and dividing larger numbers

  1. 1. 3400
  2. 2. 720
  3. 3. 12
  4. 4. 60 ÷ 5 → Divides exactly; 43 ÷ 5 → Leaves a remainder; 84 ÷ 7 → Divides exactly; 50 ÷ 8 → Leaves a remainder; 90 ÷ 6 → Divides exactly; 73 ÷ 9 → Leaves a remainder
  5. 5. 1500
  6. 6. 5
  7. 7. 322
  8. 8. 56000

Factor pairs and multiples

  1. 1. 5
  2. 2. 27
  3. 3. 4 → A factor of 36; 5 → Not a factor of 36; 6 → A factor of 36; 8 → Not a factor of 36; 9 → A factor of 36; 12 → A factor of 36; 15 → Not a factor of 36; 24 → Not a factor of 36
  4. 4. 16 → 2 × 8; 18 → 3 × 6; 20 → 4 × 5; 21 → 3 × 7; 25 → 5 × 5
  5. 5. 6
  6. 6. 12
  7. 7. 4
  8. 8. 40

Number patterns

  1. 1. 24
  2. 2. a) Add 3
  3. 3. 66
  4. 4. 13
  5. 5. 25
  6. 6. 35
  7. 7. 18
  8. 8. a) 16

Unlike fractions and mixed numbers

  1. 1. 1/3 → Less than a half; 5/8 → More than a half; 2/5 → Less than a half; 3/4 → More than a half; 1/6 → Less than a half; 7/10 → More than a half
  2. 2. 1/3
  3. 3. 1. 1/6 2. 1/3 3. 1/2 4. 2/3
  4. 4. 7/10
  5. 5. 2 1/4
  6. 6. c) 1/2
  7. 7. 5/8
  8. 8. 5/8

Decimal place value

  1. 1. a) 8
  2. 2. 460
  3. 3. c) 0.5
  4. 4. a) 0
  5. 5. 1. 2.03 2. 2.3 3. 2.31 4. 2.4
  6. 6. 0.35 → 0.3; 0.53 → 0.03; 3.5 → 3; 0.053 → 0.003
  7. 7. d) 6 hundredths
  8. 8. 1. 0.1 2. 0.11 3. 0.2 4. 0.21

Adding and subtracting decimals

  1. 1. 6.95
  2. 2. 1 - 0.4 → 0.6; 1 - 0.25 → 0.75; 1 - 0.05 → 0.95; 1 - 0.9 → 0.1; 1 - 0.5 → 0.5
  3. 3. 3.3
  4. 4. 3.8
  5. 5. 2.25
  6. 6. 16.75
  7. 7. 1
  8. 8. 1. 1.2 + 0.3 2. 2.5 - 0.4 3. 1.9 + 0.5 4. 3.6 - 0.7

Area and perimeter

  1. 1. 15
  2. 2. 24
  3. 3. 3 by 4 → Below 30; 5 by 5 → Below 30; 2 by 8 → Below 30; 6 by 6 → Above 30; 4 by 9 → Above 30; 7 by 5 → Above 30
  4. 4. a) 3 by 9
  5. 5. 36
  6. 6. 4
  7. 7. 84
  8. 8. 16

Volume with unit cubes

  1. 1. 1. 2 by 2 by 3 2. 2 by 3 by 3 3. 3 by 3 by 3 4. 3 by 4 by 3
  2. 2. 12
  3. 3. 2 by 2 by 2 → 8; 2 by 3 by 2 → 12; 3 by 3 by 2 → 18; 4 by 3 by 2 → 24; 5 by 4 by 2 → 40
  4. 4. d) 27
  5. 5. 80
  6. 6. 2 by 2 by 5 → Fewer than 24 cubes; 3 by 4 by 2 → 24 cubes or more; 1 by 3 by 6 → Fewer than 24 cubes; 4 by 4 by 2 → 24 cubes or more; 2 by 2 by 4 → Fewer than 24 cubes; 5 by 5 by 1 → 24 cubes or more
  7. 7. 12
  8. 8. 24

Angles and the protractor

  1. 1. 4
  2. 2. a) Acute
  3. 3. 1. 25° 2. 70° 3. 90° 4. 135° 5. 170°
  4. 4. 40° → Acute; 90° → Right; 120° → Obtuse; 180° → Straight
  5. 5. 60
  6. 6. 30° → Acute; 95° → Obtuse; 89° → Acute; 150° → Obtuse; 12° → Acute; 175° → Obtuse
  7. 7. 115
  8. 8. b) Obtuse

Nets of solids

  1. 1.
    • cuboid
    • rectangular prism
  2. 2. 3
  3. 3. Cube → Net is all straight-sided; Cylinder → Net has a curved piece; Cuboid → Net is all straight-sided; Cone → Net has a curved piece; Triangular prism → Net is all straight-sided; Square-based pyramid → Net is all straight-sided
  4. 4. 6
  5. 5. b) Cone
  6. 6. d) Square-based pyramid
  7. 7.
    • circle
    • circles
  8. 8. 2 — Third in the row

Averages

  1. 1. 2, 4 → 3; 4, 6 → 5; 6, 10 → 8; 10, 14 → 12; 14, 20 → 17
  2. 2. b) 1, 5, 9
  3. 3. 8
  4. 4. 6
  5. 5. 12
  6. 6. 30
  7. 7. 1. 1, 2, 3 2. 2, 4, 6 3. 5, 6, 7 4. 8, 10, 12
  8. 8. 5

Bar graphs with scales

  1. 1. 35
  2. 2. a) 5 for each line
  3. 3. 1. 2 lines up 2. 3 lines up 3. 5 lines up 4. 7 lines up
  4. 4. 160
  5. 5. 4 — Class D
  6. 6. 2 lines up → 10; 3 lines up → 15; 5 lines up → 25; 8 lines up → 40; 12 lines up → 60
  7. 7. 15 → Lands on a line; 22 → Lands between two lines; 35 → Lands on a line; 8 → Lands between two lines; 40 → Lands on a line; 13 → Lands between two lines
  8. 8. 14

How much for one?

  1. 1. 105
  2. 2. 120
  3. 3. a) 8 pencils for ₹40
  4. 4. 4 for ₹24 → One costs less than ₹10; 5 for ₹60 → One costs ₹10 or more; 3 for ₹27 → One costs less than ₹10; 2 for ₹30 → One costs ₹10 or more; 6 for ₹42 → One costs less than ₹10; 4 for ₹80 → One costs ₹10 or more
  5. 5. b) 8
  6. 6. 2 for ₹18 → 9; 3 for ₹18 → 6; 4 for ₹20 → 5; 5 for ₹60 → 12; 6 for ₹90 → 15
  7. 7. 21
  8. 8. 3

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