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Practice exam for Maths Grade 7

Total questions: 14

Worksheet time: 42mins

Name
Class
Date
1.

The diagram shows a triangle ABC.

A is (2, 4), B is (3, 6) and C is (5, 2).

Triangle ABC is enlarged with a scale factor 3 about P (2, 1).

Mark clearly the new position of triangle ABC after this enlargement.

2.

A bag contains blue, yellow and green counters.

The probability of choosing a yellow counter is 1/5 .

The probability of choosing a green counter is  1/4.

A counter is picked at random.

Work out the probability that the counter is:

not yellow.

4 lines
3.

A bag contains blue, yellow and green counters.

The probability of choosing a yellow counter is 1/5.

The probability of choosing a green counter is  1/4.

A counter is picked at random.

Work out the probability that the counter is:

blue.

4 lines
4.

Given p = 3k + mn

Find the value of p when k = -1, m = 3 and n = -61.

4 lines
5.

Work out 7/16 of 64 m2.

4 lines
6.

A spinner in the shape of a regular pentagon has sections numbered 1 to 5.

The probability of the spinner landing on an odd number is 3/5.

What can you say about the spinner? Explain your answer.

4 lines
7.

A book has 400 pages, including 10 pages of photographs.

The book is opened at random.

Write down the probability of opening the book at a page without a photograph.

4 lines
8.

The sketch shows an open box in the shape of a wedge.

The ends and the base are rectangular and each side is a trapezium.

Work out the surface area of the 4 sides of the open box.

4 lines
9.

In a children’s game, two four-sided fair spinners are used.

Each spinner is used in turn and the results are added together.

The table belows shows some of the results.

Complete the table.

10.

Use your table to work out the probability of:

not scoring five

4 lines
11.

Use your table to work out the probability of:

scoring 11

4 lines
12.

A pyramid has a square base of side 4 cm.

Each sloping edge of the pyramid is 6 cm long.

On the grid below, construct the net of this pyramid.

13.

Enlarge triangle ABC about the point A with a scale factor of 2.

14.

Given V=13pr2hV=\frac{1}{3}pr^2h ,

find the value of V when p = 6, r = 4 and h = 41.

4 lines