Practice exam for Maths Grade 7

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.

Answer explanation

Your drawing should be 3 times bigger and 3 times as far from the center point.

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.

Answer explanation

1 - 0.2 = 0.8

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.

Answer explanation

1 - 0.2 - 0.25 = 0.55

Given p = 3k + mn

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

Answer explanation

p = 3(-1) + 3(-61) = -186

Work out ⁷/₁₆ of 64 m².

Answer explanation

64 / 16 * 7 = 64 m^2

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.

Answer explanation

The spinner has equal sizes of even and odd numbers because 1, 3, and 5 are the only 3 odd numbers from 1-5 and the probability of an odd number is also 3/5.

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.

Answer explanation

(400-10)/400 = 0.975

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.

Answer explanation

(2 x 4) + (3 x 4) + 2[(2 + 3)/2 x 5)] = 45 cm^2

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.

Answer explanation

Use your table to work out the probability of:

not scoring five

Answer explanation

1 - 4/16 = 12/16 = 3/4 = 0.75