A1.1 Homework 1 - Cambridge Essentialsessentials.cambridge.org/media/CEMKS3_C7_A1_1_WS_HW3.pdf · Cambridge Essentials Mathematics Core 7 A1.1 Homework 2 Original material © Cambridge

Cambridge Essentials Mathematics Core 7 A1.1 Homework 1

Original material © Cambridge University Press 2008 1

A1.1 Homework 1

1 Each symbol stands for a number. Find the value of each symbol.

a ☺ + 8 = 11 b ☼ – 5 = 7 c ♦ × 4 = 20 d ÷ 6 = 7

2 ♥ = 3 and ☼ = 8.

Find the value of each expression.

a ♥ + ☼ b 7 – ♥ c 48 ÷ ☼ d ☼ × ♥

3 ▲ = 7

Find a quick way to work out ▲ + ▲ + ▲ + ▲ + ▲ + ▲ + ▲ + ▲ + ▲ + ▲ – 40.

Explain how you got your answer.

4 ☻ = 15

Find the value of each of these.

a 6 more than ☻ b 8 less than ☻ c 4 times ☻ d ☻ less than 40

5 ● – □ = 3. Write three pairs of values for ● and □.

6 Paula has ♦ sweets. How many sweets does each friend have?

a Jack has 6 more than Paula.

b Asif has half as many as Paula.

c Clare has 3 times as many as Paula.

d Kelly has 9 less than Paula.

7 Each letter stands for a number. Find the value of each letter.

a p + 4 = 7 b t – 5 = 6 c f × 3 = 21 d k ÷ 2 = 9 e m + m = 24

8 g = 20 and h = 4.

Find the value of each expression.

a g + 6 b h × 3 c g – h d g ÷ 2 e g × h f 60 ÷ h



9 a × b = 12. Write three different values for a and b.

10 x + 5 can be written in words as ‘five more than x’.

Write these in words.

a x – 7 b x + 2 c 3x d 4x e 8 + x

11 n stands for a number. ‘4 more than n’ is written with symbols as n + 4.

Write these with symbols.

a 2 less than n b 5 times n c 10 more than n

d half of n e double n f 7 less than n

g 12 times n h 6 more than n i n less than 10

12 Look at this table. Age (in years)

Ahmed a

Brad b

Carla c

a Write each statement using the letters a, b, and c.

The first one has been done for you.

i Ahmed is 16 years older than Brad. Answer: a = b + 16

ii Carla is 13 years old.

iii Carla is three years younger than Brad.

iv Carla’s age and Ahmed’s age add up to 45.

b Write in words the meaning of each of these. The first one has been done for you.

i b = 16 Answer: Brad is 16 years old.

ii b + c = 29

iii a = 2 × b

iv a = c + 19



A1.1 Homework 2

1 Write the next two terms of each sequence.

State whether the sequence is increasing or decreasing.

a 7, 15, 23, 31, ... b 50, 42, 34, 26, ... c 5, 18, 31, 44, ...

d 6, 12, 18, 24, ... e 6, 12, 24, 48, ... f 64, 32, 16, 8, ...

2 Copy and complete each sequence.

Write the rule that tells you how to get from one term to the next.

a 13, 19, 25, , , 43 b 55, 47, , 31, , 15

c , 23, 32, 41, , 59 d , , 10.5, 14, , 21, 24.5

3 The first term of a sequence is 9 and the terms increase by 8.

Write the first five terms of the sequence.

4 The first term of a sequence is 7. Each term is double the term before.


5 In a sequence, each term is half the term before. The second term is 40.


6 Here is a sequence of patterns made from circles.

3 circles 5 circles

a The first pattern in the sequence has 3 circles. The second pattern has 5 circles.

How many circles are in the third pattern?

b Draw the next two patterns in the sequence. How many circles are there in each one?

c Write the numbers of circles in the first five patterns as a sequence.

d What is the term-to-term rule for this sequence?



7 The sequence 6, 12, 18, 24, ... can be written like this.

1st term 2nd term 3rd term 4th term

6 × 1 6 × 2 6 × 3 6 × 4

Copy and complete.

The 5th term is 6 × = The 10th term is 6 × =

The 100th term is × = The nth term is ×

8 a Write the first five terms of the sequences with these nth terms.

i n + 8 ii 20 – n iii n × 4 iv 60 ÷ n

b Which of the sequences in part a are decreasing?

9 The nth term of a sequence is 2 × n + 5. What is the 8th term of this sequence?

10 This is a sequence of patterns. Each pattern is made from hexagons.

Think of each pattern as one hexagon at the top with sets of three hexagons below it.

In this way, the numbers of hexagons in the patterns make a sequence.

Pattern 1 Pattern 2 Pattern 3

1 + 1 × 3 = 4 1 + 2 × 3 = 7 1 + 3 × 3 = 10

Copy and complete.

a The number of hexagons in Pattern 4 is 1 + × 3 =

b The number of hexagons in Pattern 10 is + × =

c The number of hexagons in Pattern n is 1 + ×

Cambridge Essentials Mathematics Core 7 A1.2 Homework


A1.2 Homework

1 Copy and complete these function machines.

a 2 13

→ + → 19

17

b 54 39

37 → − → 22

11

c 3 45

→ × → 75

n

d 30 6

→ ÷ → 10

1

2 Draw a function machine for x → x + 6. Use the input values 0, 4, 13 and 25.


a 3

8 → 2 + → 4 × →

32

b

14

22 → 2 ÷ → 6 − →

9

4 Copy and complete this function machine to show x → 2x + 5.

7 19

10 → → →

31


a 3 15 b 6 20

7 → 4 × → + → 8 → − → 5 × → 43 45

6 8 → → → →

Arrange the operations 6 + , 3 × and 4− in different ways in the function machine.

a Make the output 18. b Make the output 26. c Make the largest possible output.



7 A function uses the rule x → 6x – 7.

Use the rule to find the output values for the input values 2, 4, 6, 8, 10, 12.

8 Copy and complete this function machine so that the output is always the same as the input.

x → → 6 − → → 4 × → 2 ÷ → x

Check your answer using the input values 2, 3 and 4.

9 Rewrite each of these function machines so that each one contains just one operation.

a x → 2 − → 1 − → y b x → 5 ÷ → 2 ÷ → y

c x → 2 + → 1 − → y d x → 3 + → 2 ÷ → 2 × → 2 + → y

10 Copy and complete.

a x → → 4 × → 3x b x → → 1 − → → 2x

11 a Copy and complete the table of x and y values for this function machine.

x → 3× → 2+ → y

x 1 2 3 4 5 6

y 5

b Copy and complete this mapping diagram. Use the values from your table.

12 A function uses the rule n → ?. Here are some inputs and outputs for this function.

1 → 2

2 → 6

3 → 10

4 → 14

What is the function?



A2.1 Homework 1

1 Work these out. Use the rules for the order of operations.

a 6 + 2 × 5 b 17 – 2 × 6 c 4(5 + 3) d 7 × 4 + 5

e 5 × 4 – 2 × 9 f 6(5 – 2) × 3 g 9 + 8 ÷ 2 h (9 + 6) ÷ 5

i 20 ÷ 5 + 8 ÷ 4 j 11 – 7 + 2 k 8 × 4 × 5 l 36 ÷ 9 ÷ 2

m 15 – 9 – 4 n 40 – 26 + 6 o 10 + (6 – 4) p 21 – (6 + 9)

2 Find the value of each expression when x = 4.

a x + 6 b 3x c 5x d 3x – 7

e 12 – 2x f 2(x + 3) g 22 – 3(x + 1) h 8 + 5(x – 1)

i 4x j

210+x k

x40 l

118−x

3 x = 5 and y = 3. Find the value of each expression.

a x + y b x – y c xy d 3x – 2y

e 3x – 5y f x + 2y g 11 – x – y h x(y + 4)

i y

x 4+ j yx −

20 k 7 – (x – y) l x

30 – 2y

4 Simplify these expressions.

a x + 4 + 7 b x + 8 – 5 c x + 2 × 6 d x + x + x + x

e 4x + 7x f 6x – 5x g 9x + 2x + x h 10x – 3x – 4x

i 3x + 4 + x + 3 j 8 – 3x – 8 + 5x k x + y + y + y l 3x – 2y + y

m x – y + x + 4 n 2xy + 5xy o xy + xy + xy p 4xyz + 5xyz

5 Copy and complete.

a 48 + 26 + 2 = + 26 b 52 + 25 + 75 + 16 = 52 + + 16

= =



A2.1 Homework 2

1 Find and simplify a formula for the perimeter P of each of these shapes.

a

b

2 The perimeter of this triangle is 9x + 5.

Two of its lengths are shown on the diagram.

a What is the total of these two lengths?

b How long is the unmarked side?

3 Guy thinks of three different rectangles, A, B and C. Each one has a perimeter of 6x + 10.

Use the information below to draw the three rectangles. Label the sides.

a One of the side lengths of rectangle A is 2x.

b One of the side lengths of rectangle B is x.

c One of the side lengths of rectangle C is 2x + 3.

4 d = st

a Find d when s = 20 and t = 5. b Find d when s = 80 and t = 4.

c Find d when s = 35 and t = 3. d Find d when s = 100 and t = 251 .

5 g = xy

a Find g when y = 20 and x = 4. b Find g when y = 25 and x = 10.

c Find g when y = 10 and x = 20. d Find y when g = 6 and x = 3.

4x + 1 3x

3x 3 3

x x

x

2x + 1 2x + 1

x

x

2y 2y

2y 2y



A2.2 Homework

1 Copy and complete each sentence below. Use a word from this list.

INVERSE INPUT FUNCTION OUTPUT

a The number that goes into a function machine is called the ________.

b The ________ is the number that comes out of the function machine.

c What happens to the number as it moves through the machine is called the ________.

d The ________ operation of add 4 is subtract 4.

2 Write an expression for the output of each function machine.

a x → 7 + → b x → 4 × →

c x → 5 ÷ → d y → 01 − →

e t → 71 + → f m → 6 −× →

3 Write an expression for the output of each function machine.

a x → 3 × → 6 + → b x → 4 − → 8 × →

c x → 3 ÷ → 2 + → d x → 7 + → 5 × →

e y → 3 −× → 2 + → f k → 3 − → 2 ÷ →

4 Draw a function machine to represent each expression.

a 6p + 2 b 2y – 5 c 4

3+d

d 5x + 8 e 5(m – 4) f

4t – 1

g 7(x + 8) h 5

3−a i −k + 3



5 Write the inverse of each operation.

a Add 3 b Subtract 9 c Multiply by 4

d Divide by 7 e + 5 f – 11

g ÷ 8 h × 4 i ÷ 6.1

j × 3.8 k – 4.5 l + 1.7

6 This function machine represents the equation 3(x + 5) = 24.

x → 5 + → 3 × → 24

a Copy and complete the reverse function machine using inverse operations.

x ← ← ← 24

b Use the reverse function machine to find the value of x

7 Look at the equations below.

i Draw the function machine for each equation.

ii Draw the reverse function machine for each equation.

iii Use the reverse function machine to solve each equation.

a 3x – 1 = 8 b 5y + 7 = 47 c 4(m + 3) = 32

d 2t + 5 = 12 e 5x – 4 = 2 f

8d + 7 = 10

g 16

3=

+g h 7(p – 2) = 28 i 1 + 5s = 5

8 Sita reads these equations.

2x + 6 = 16 2(x + 6) = 16

She says that x has the same value in each equation.

a Is she correct?

b Draw function machines to explain your answer.



A3.1 Homework 1

1 a Write an expression for these instructions.

Start with n, subtract 5 and multiply the answer by 3.

b Write this expression in words. 4

9+x

c Find the value of x

x−−

10)4(3 when x = 8.

2 a Explain the difference between 3n and n + 3.

b Copy and complete.

i 3n → → n ii n + 3 → → n

3 Copy and complete these function machines. The first one has been done for you.

a 5x – 7 → 7 + ⎯→⎯ x5 5 ÷ → x b 3x + 4 → ⎯→⎯ → x

c 2(x – 3) → ⎯→⎯ → x d 7

6x → ⎯→⎯ → x

4 Solve these equations.

a x + 23 = 71 b 9x = 72 c 11x = 22

d 2x + 8 = 32 e 4x + 6 = 11 f 3(x + 5) = 36

5 The perimeter of this triangle is 41 cm.

a Write an equation for the perimeter of the triangle.

Simplify your equation.

b Solve the equation.

c Find the lengths of the sides of the triangle.

6 Catrin, Laila and Zac are playing a game. Catrin has n points. Laila has 5 more points

than Catrin. Zac has 4 more points than Laila. They have 74 points altogether.

a Write this information as an equation and simplify it.

b Solve the equation.

c How many points does Zac have?

x + 6 x – 1

2x



A3.1 Homework 2

1 Explain why a + b = b + a, but a – b is not equal to b – a.

2 If x = m + n, which of the following are always true?

m = x – n n = mx n = x – m n = m – x

3 Simplify these expressions.

a 7xy – 4yx b 4mx + 2my – xm c 3 + kt + 5tk

4 Find and simplify an expression for the area of each diagram.

a

b

c

5 Expand the brackets in these expressions. Simplify where possible.

a 7(x + 2y + 3) b 4(2m – 3) + 5m c 5(a + 2b) – 2a + b d 2(x + 4) + 3(5 + 3x)

6 This regular hexagon has sides of length 2a + 3b.

a Write an expression for the perimeter. Use brackets.

b Multiply out the brackets.

7 Solve these equations by expanding the brackets first.

a 7(c – 3) = 28 b 5x + 3(x + 1) = 35

c 3(2y – 1) + 2(3y + 4) = 17 d 6 + 3 (x + 4) = 24

8 The number in each brick is the sum of the two numbers above it.

Write and solve an equation to find the value of n in each diagram.

a

b

2n + 1 n 3n + 2

3n + 1

24

3 n 5

3 + n n + 5

20

5a

74

2a

2 3

3

4g

7g

4

5n

8

3n

2a + 3b

2a + 3b2a + 3b

2a + 3b

2a + 3b

2a + 3b



A3.2 Homework

1 y = 3x – 2. Copy and complete this mapping diagram for the input numbers 2, 3 and 4.

2 Which label belongs to each partly completed mapping diagram below?

Copy and complete the mapping diagrams.

3 a Which of these labels could match the partly completed mapping diagram?

b The correct function also maps 6 to 9. Which is the correct label?

x → x + 1 x → 2x – 3x → 10 – xx → 3x – 7

2(x – 1) 13 – x x + 2 2x – 1



A4.1 Homework 1

1 a Write the coordinates of points A and B.

b What is the equation of the line passing

through A and B?

c Write the equation of the line parallel to

AB and passing through:

i (1, 7)

ii (17, 25)

iii (–2, 11)

2 a Write the coordinates of points P and Q.

b What is the equation of the line passing

through P and Q?

c Write the equation of the line parallel to

PQ and passing through:

i (2, 1)

ii (11, 16)

iii (–9, –10)

3 Write the coordinates of the point where each pair of lines intersect.

a x = 2 and y = 5

b x = –1 and y = 10

c x = –4 and y = –3

d x = 4 and y = x

e y = x and y = 10

f x = 6 and y = x + 1



A4.1 Homework 2

1 Draw the graphs of y = x + 1, x = 4 and y = 3 on the same diagram.

Find the coordinates of the point where each pair of lines intersect.

a y = x + 1 and x = 4 b x = 4 and y = 3 c y = x + 1 and y = 3

2 a Copy and complete the table for the equation y = 6 – x.

x –2 –1 0 1 2 3 4

y 8

b Plot the values from your table as

coordinates on a copy of these axes.

c Draw and label the line y = 6 – x.

d Write the coordinates of the points

where the line crosses:

i the x-axis ii the y-axis.

3 a Copy and complete the table for the equation y = 2x – 3.

x 0 1 2 3 4

y –3

b Draw the line y = 2x – 3.

c i Write the coordinates of the point where the line crosses the x-axis.

ii Write the coordinates of the point where the line crosses the y-axis.

iii Write the coordinates of the point where the line crosses the line x = 1.

iv Write the coordinates of the point where the line crosses the line y = 1.



A4.2 Homework

1 You can use this graph to work out the cost of a length of carpet.

a Find the cost of each length of carpet to the nearest pound.

i 6.5 m ii 5 m iii 2.5 m iv 7.1 m

b What length of carpet, to the nearest 0.1 m, can be bought for each price?

i £50 ii £20 iii £100 iv £72

2 Use the graph to solve these equations.

a 3x – 5 = 1

b 3x – 5 = 7

c 3x – 5 = 4

d 3x – 5 = 2.5

e 3x – 5 = –2

3 Michael uses a graph to solve the equation 12 – 2x = 2.

He gets the answer x = 5. Do you think Michael is right? Explain how you know.



A5.1 Homework 1

1 The letter x represents the area of this square.

The letter y represents the area of the this triangle.

So the area of this shape is x + y.

a Write an expression for the area of this shape in its simplest form.

b Write an expression for the shaded area of this shape.

2 Owen’s class is being given their Science test results.

Owen gets m marks.

Write expression for the marks gained by these pupils.

a Rachel gets 7 more marks than Owen.

b Kai gets 10 marks less than Owen.

c Tariq gets twice as many marks as Owen

d Sasha gets 5 more than half of Owen’s marks.

3 The rectangle is 2a wide and 3b long.

a Write a simplified expression for its area.

b Write a simplified expression for its perimeter.

x

y

3b

2a



4 A teacher has a large pile of cards.

An expression for the total number of cards is 4n + 10.

a The teacher puts the cards into two piles.

The number of cards in the first pile is 3n + 7.

Write an expression to show the number of cards in the second pile.

b The teacher uses all the cards to make two equal piles.

Write an expression to show the numbers of cards in each pile.

5 This trapezium is made from two triangles

and a rectangle.

a Write an expression for the length c

using a and b.

b i Write an expression for the area of the rectangle.

ii Write an expression for the area of one triangle.

iii Write an expression for the total area of the trapezium.

6 The lowest of four consecutive even numbers is n.

a Write down, in terms of n, an expression for the second lowest of these numbers.

b Write an expression for the sum of the four consecutive even numbers. Simplify it.

c Find an expression for the number midway between the highest and the lowest of

these numbers.

7 In this diagram, P has coordinates (n + 2, 3n).

a P is mapped to Q by a translation 3 right.

Find the coordinates of Q.

b P is mapped to R by a translation 5 right and 2 down.

Find the coordinates of R.

c P is mapped to T by a reflection is the y-axis.

Find the coordinates of T.

b b

h

a

c



A5.1 Homework 2

1 This is an approximate rule for changing a temperature in degrees Fahrenheit, F, into

degrees Celsius, C.

‘Subtract 30 and divide by 2.’

Copy and complete this formula connecting F and C.

C = …

2 To find the mean of three numbers a, b and c, you add the numbers and divide by 3.

Copy and complete this formula for m, the mean of the three numbers.

m = …

3 Sacha is arranging square tables in rows for a children’s birthday party.

1 table 2 tables 3 tables

a Copy and complete this table. Numbers of tables 1 2 3 4 5

Numbers of children 4 6

b How many children can be seated at a row of 10 tables?

c Find a formula for c, the numbers of children that can be seated in a row of t tables.

4 Here are some patterns made out of hexagons.


a Pattern 1 has ten outside edges. How many outside edges are there in Pattern 2?

b How many outside edges in Pattern 3?

c How many will there be in Pattern 4?

d Find a formula for the number of outside edges in the nth pattern.



5 Black and white tiles are arranged to make patterns.


a Draw Pattern 4.

b Copy and complete the table for the numbers of white tiles.

Pattern number 1 2 3 4 5

Number of white tiles 8

c How many white tiles are in Pattern 10?

d Which pattern will contain 40 white tiles?

e Find a formula for the numbers of white tiles in the nth pattern.

6 a Write the next two terms in this sequence.

3, 10, 17, 24, ...

b What is the 10th term of the sequence?

c Find a formula for the nth term of the sequence.

7 Write a formula for y in terms of x for each of these function machines.

a x → 3 + → 5 × → y b x → 2 ÷ → 4 − → y

c x → 3 × → 5 − → y d x → 1 − → 5 ÷ → y

8 To find B, start with H, add 4 then multiply by 7. Write a formula for B in terms of H.

9 a Copy and complete this function machine to show the formula y = 3

2−x .

x → → → y

b i Copy and complete this function machine to show the formula y = 7 – 3(x + 2).

x → + → × → 7 + → y

ii Simplify the formula y = 7 – 3(x + 2) as much as possible.

Draw another function machine to show your simplified formula.

It should contain just two operations.



A5.2 Homework 1


a 4x + 3 = 11 b 9x – 4 = 41 c 18 – 2x = 4

d 49 = 5x + 4 e 4 = 40 – 3x f 17 + 8x = 41

2 Find the value of each letter as a fraction or mixed number in its lowest terms.

a 3p + 5 = 30 b 4y + 2 = 5 c 2m – 5 = 4

d 36 – 10q = 27 e 33 = 8t + 7 f 52 = 100 – 20a

3 Solve these equations. Give your answers as decimals.

a 11 + 8x = 23 b 10m + 8 = 21 c 14 = 4n + 5

d 29 – 5q = 22 e 13 = 17 – 5a f 8c – 18 = 20

4 The lengths of three sides of an isosceles triangle are x cm, x cm and 12 cm.

Its perimeter is 40 cm. Write an equation and solve it to find x.

5 Find x. a

b

6 Write and solve an equation to find the value of a.

a

b

7 a Write an expression for the perimeter of this triangle.

Simplify it.

b The perimeter of the triangle is 18 cm.

Write an equation and solve it to find x.

c Write the lengths of the three sides of the triangle.

38° 6a + 5°

x

4x + 10°

x + 20°

(x + 4) cm

(2x – 1) cm

x cm

x

2x

6x

115° 8a – 7°



A5.2 Homework 2

1 Catrin, Niki and Jema are playing a game.

Catrin has n points. Niki has 12 more than Catrin. Jema has 6 more than Niki.

a Write an expression to show how many points the three friends have altogether.

Simplify your expression.

b The three friends have 84 points altogether. Write an equation and solve it to find n.

1 2 3 4 5 6 7

8 9 10 11 12 13 14

15 16 17 18 19 20 21

22 23 24 25 26 27 28

2 The highlighted square contains

the numbers 9, 10, 16 and 17.

The sum of these numbers is 52.

Which numbers should the square

contain, so that the sum is 124?

29 30 31 32 33 34 35

n 36 37 38 39 40 41 42 Hint: Begin by starting

with a square like this. 43 44 45 46 47 48 49


a 2(x + 8) = 26 b 9(x – 3) = 99 c 12(14 – x) = 72

4 Solve these equations by expanding the brackets first.

a 8(x + 7.5) = 84 b 7(p + 5) – 13 = 71 c 47 = 12 + 4(c + 7)


a 5m + 23 = 31 b 6 =

49+t c

8a + 3.5 = 6

6 Terry has x football stickers and an album that will hold 80 stickers.

His friend gives him 9 more stickers.

To fill the album, Terry needs four times as many stickers as he now has.

Write and solve an equation for x.



7 This rectangle has a length of (y + 5) cm and a width of 4 cm.

a Find a formula for the area A of the rectangle in cm2.

b Find a formula for the permineter P of the rectangle in cm.

c i If the perimeter is 44 cm, find the area of the rectangle.

ii If the area is 44 cm2, find the perimeter of the rectangle.

8 In a sponsored walk, Dean raised £16 more this year than he did last year.

Kieran raised £120, which was three times as much as Dean raised this year.

If Dean raised y pounds last year, write an equation and solve it to find y.

9 Each side of this regular hexagon has a length of 2x + 3.

Its perimeter is 72 cm.

Write an equation and solve it to find x.

10 a I think of a number, subtract 13 and then multiply by 7.

My answer is 108.5.

Write an equation and solve it to find my number.

b I think of a number, add 8 and then divide it by 5.

The result is 21.

Write an equation and solve it to find my number.

11 Amy, Bert and Ciaran are neighbours. Amy’s age, in years, is represented by a.

a Bert is twice as old as Amy. Write an expression for Bert’s age, using a.

b Ciaran is 8 years older than Amy. Write an expression for Ciaran’s age, using a.

c The ages of Amy, Bert and Ciaran add up to 100 years.

Write and simplify an equation, and solve it to find a. How old is Ciaran?

12 The nth term of a sequence is 3(2n + 5).

a Which term has the value 39?

b How many terms have a value of less than 100?

c Show that there isn’t a term with the value 54.

2x + 3

4cm

(y + 5) cm



A5.3 Homework

1 This is a graph of Gail’s journey to the shops.

Gail starts by walking from home to the bus stop.

a How far is it to the bus stop from Gail’s house?

b How long does she wait for a bus?

c How long does the bus journey take?

Gail then walks the rest of the way to the shops.

d How long does the total journey from home to the shops take?

e What is the total distance that she walks?

f How far away from Gail’s home are the shops?

Gail gets lift home with a friend.

g How long does her return journey take from the shops to home?

h How long was she out of the house altogether?



2 William throws a ball up into the air and catches it on the way down.

One of these graphs shows the speed of the ball while it is in the air.

Which one? Give a reason for your answer.

3 The graph shows the water level in a river during part of one day.

a What was the water level at 6 am?

b At what time was the water level highest?

c What was the highest water level recorded?

d A flood warning is given when the water level is 225 cm or more.

Between what times was there a flood warning?

6 a.m. 8 a.m. 10 a.m. 12 noon 2 p.m. 4 p.m. 6 p.m. 8 p.m.

300

250

200

150

100

50

0

Time

Wat

er le

vel i

n ce

ntim

etre

s

Documents

A1.1 Homework 1 - Cambridge Essentialsessentials.cambridge.org/media/CEMKS3_C7_A1_1_WS_HW3.pdf · Cambridge Essentials Mathematics Core 7 A1.1 Homework 2 Original material © Cambridge