Week 34 · Maths Practice Paper

Calculate, using the correct order of operations:

A concrete mix uses gravel, sand and cement in the ratio 5:3:2, making 500kg in total.

Solve the following equations:

A sequence has nth term 8n + 1.

The angles of a triangle are x°, (x+15)° and (x+105)°.

The quadrilateral below has an 85° angle, a right angle, and an exterior angle of 170° at the third corner (so the interior angle there is 10°). Calculate x and y.

For a Z-shaped tetromino (four squares in a Z arrangement):

For a dodecagonal prism:

Three vertices of rectangle BCDE are B(-2,3), C(3,3) and D(3,-2).

A bag contains 6 mint, 4 rose and 2 gold counters.

The bar chart shows the number of cupcakes sold each day of one week.

A swimming gala starts at 11:15 and ends at 13:52.

A runner covers 48 miles in 6 hours. What is their average speed, in mph?

Leo is currently 8 times as old as his cousin. In 3 years, the sum of their ages will be 60.

A speaker priced at £90 is increased in price by 30%, and then the new price is decreased by 20%.

In a year group of 125 students, 72 like badminton, 55 like squash, and 32 like both.

Find the missing digit d so that the six-digit number 9d6274 is divisible by 9.

Using the symbols ♠, ♣ and ♦ for three different numbers: ♠+♣=38, ♦+♣=33, ♠+♦=35.

What is the smaller of the two angles between the hour hand and minute hand of a clock at 7:10?

How many different 3-digit codes, with no repeated digits and the first digit not 0, can be formed using the digits 0, 1, 2, 3 and 4?

Calculate 12⅓ - 9⅚, giving your answer as a mixed number in its simplest form.

A rectangular garden measures 39m by 21m. A right-angled triangular pond with legs 18m and 13m is dug in one corner, as shown, and is no longer lawn.

An isosceles triangle has two equal sides of length 3x cm and a base of length (x+21) cm. Its perimeter is 56cm.

28 workers can finish a job in 4 hours, all working at the same steady rate.

I am thinking of a number. When I subtract 11 from it and triple the result, I get 39. What is the number?

A collection of stamps A, B and C are in the ratio 10:13:31. There are 63 more C stamps than A stamps.