Year 7 Maths - Spring Term Revision Guide

Your exam could include any topics that you have been taught since the start of year 7.

In addition to your exercise book and revision material given to you by your teacher, youshould be using Hegarty Maths to revise topics that you know you struggle with, especiallyfrom earlier in year 7.

/

Log on to Hegarty Maths and search for the topics below that you need to work on. Watchthe video clips and do the linked quiz. Leave a comment for your teacher if don't understandsomething on the quiz.

If there is a topic you cannot find on Hegarty Maths, make sure you use your exercise book to revise for it.

YEAR 7 TOPICS

•y-^'a- 9o^ 9<S Xl.2 <u

il<us

4->

IliliII

>^

I- M

-2-!81liu %ir" ?

1.2Itw ^^ -^rt

^=

II(U^

i.Q.

8 8<u H

^ic0

^ .y3CT

Place value

Mental addition and subtraction (integers)

Written addition and subtraction of

integers

Addition and subtraction of decimals

Multiplication and division of integers

Area

Multiplication and division of decimals

Mean

Time

Using and converting units

Angles and angle properties of straightlines

Properties of triangles

Properties of quadrilaterals

Symmetry and tessellation

Fractions: equivalent, simplifying,comparing

Fractions, decimals and percentages

Xl

IS v0

b

c-ac=3.<-•c

rt

11It~1

heeartymaths.com

Start with the topicsyou feel least confidentwith.

Question 1

Calculate the following, showing full working out.

(a) 579+163

^ II

(b) 872- 385

l~

(C) 315x8

(d) 785-5

Question 2

List the first four multiples of 6.

Question 3

Find the lowest common multiple of 6 and 8.

Question 4

Draw a line to match each statement to the most appropriate unit of measurement. The first one is done for you.

Statement

The length of a football pitch —-.

The quantity of flour needed for a cake

The length of a pencil

The quantity of water in a glass

The quantity of water in a swimming pool

--^

\.

\

Unit of measurement

centimetres

grams

litres\

'\,^..,

metres

millilitres

Question 5

Round 3.563 to one decimal place.

Question 6Here are nine shapes.

A B c

D E F

G H

(a) Shape C has one line of symmetry, draw the line of symmetry on the shape using a dotted line.

(b) How many lines of symmetry does shape A have?

(c) Write down the letter of one shape which has no lines of symmetry and rotational symmetry order 2.

(d) Shape D is a polygon. Write down the mathematical name for this polygon.

(e) Shape E is a quadrilateral. Write down the mathematical name for this quadrilateral.

Question 7

Complete the following sentences.

Angle ..................... is a right angle.

Angle ..................... is an acute angle.

Angle ..................... is an obtuse angle.

Angle ..................... is a reflex angle.

e

a

ct

b c

I

Question 8

A television programme starts at 7.30pm.

It lasts for 105 minutes.

What time does it end?

Question 9

(a) Work out the size of the angle marked x. Give a mathematical reason for your answer.

60

70 0x

(b) Work out the size of the angle marked y. Give a reason for your answer.

45°

120y

Question 10

cti°\ h3

D

CD is a straight line. Give two pairs of possible values of a and b;

NOT drawn

accurately

a ..and b

a : ..and b

Question 11

(a) Using the line below, draw and label an angle of 62 degrees.

(b) Alex says that she measured the angle x below to be 145 degrees. Alex is incorrect. Give two mistakes shemay have made.

7-

Question 12

Equivalent fractions have the same value.Put different numbers in the boxes so that all the fractions are equivalent

1 3

2

Question 13

What fraction of each shape is shaded?

Give your answers in their simplest form.

(a)

'^||Ste.ii|^f&i£&

8

:'y/y"®s:s^.•:.StS'Tffit»\

iSSK:" "?.i/

(b)

WisSsS^i.u''^MK[W

'.^.••''•!L^.

Question 14

I think of a number. I add 5 to it. I double my answer and I get 22. What was my number?

Question 15

Amina has £5 pocket money.

She saves one-quarter of this pocket money.

Amina says

I save £ 1.50

^j

%::••

Is she correct?

You must show your working to justify your answer.

Question 16

Complete the grid such that

every row of five numbers adds up to 11

every column of five numbers adds up to 11

only the numbers 1, 2 and 3 are used in the grid.

12 3 23

23 31

22

1 322

Question 17

A nev/sagent counted how many magazines he sold for 5 clays.

54 68 50 62 56

What was the mean number of magazines he sold?

Question 18

Tammy says "eight fifths is smaller than 1 and two fifths". Is she correct? How do you know?

8

5or ^

You must show your working.

Question 19

Put these numbers in order, starting with the smallest. Write each number in its original form in your answer.

0.4 -1 -^- 0.15 0.2510 100

Question 20

(b) Draw a triangle with one obtuse angle.

c) Explain why you cannot draw a triangle with two obtuse angles?

**

Question 1Hetal is painting her house, and first wants to paint the front face.

The picture below shows the front face (shaded) and the door of Hetal's house (unshaded).

One tin of paint normally costs £3 and can cover 2.5m-. Hov./ much money will Hetal need to spend on paintto cover the front face?

You must show your working.

3 ill

4m

'^^^.^•L'.'^:-'^,^^^ •;/^.,;^'^.'^^' ^"

ifilIilIiSISJSBIIIIISB"^-B®S?';.B;!8111'SS '^. r3 .:iM3 S^K^r'^i'W^Wv:- •;.'.'^^" •,,"1;^^'

HW%:l';:::^.IIm-^.

^ISiltll';' lftf•^yyi•^^'^

2m

1

Question 2

Tom, Sam and Matt are each playing a drum.

Tom hits his drum every 2 beats.Sam hits his drum every 5 beats.Matt hits his drum every 8 beats.

Tom, Sam and Matt start hitting their drums at the same time.

Work out how many beats it will be before Tom, Sam and Matt next hit their drums at the same time.

Question 3

(a) Is it possible to draw a triangle with angles 150°, 10° and 10°?

Yes No

Explain your answer.

(b) Is it possible to draw a triangle with sides 150cm, 10cm and 10cm?

Yes No

Explain your answer.

Question 4

Complete the table. Ensure your fractions are left in their simplest form. Use the space around the question for yourworking out, putting only your final answer into the table.

Fraction Decimal Percentage

6.25

410%

19

^

Question 5(a) Work out 992-32

(b) Explain how you would use part (a) to find an answer to 1024 - 32

Questions 6

For each sequence below, tick (•v/') the correct box to show if it is increasing, decreasing or neither.

increasing decreasing neither

1

2

1

2

1

3

6 7

13 12

2

4

1

4

8

11

3

6

1

5

9

10

4

8i

3

2

4

3

5

4

8

5

I

Question 7

Arthur, Sunitra and Sharday are eating oranges.

Arthurs eats 1 ^ oranges, Sunitra eats 0.2 oranges and Sharday eats ^- oranges.

How many oranges have Arthur, Sunitra and Sharday eaten altogether?

Leave your answer as a decimal.

Question 8

(a) Circle the best estimate of the answer to

72.34 - 8.91

6 7 8 9 10 11

Write down the calculation that you used to get your answer.

a) Circle the best estimate of the answer to

32.7 x 0.48

1.2 1.6 12 16 120 160

Write down the calculation that you used to get your answer

Question 9

Calculate the value of angle c

c

2c