Week 31 · Maths Practice Paper

Calculate, using the correct order of operations:

A trail mix uses raisins, almonds and cranberries in the ratio 5:4:1, making 500g in total.

Solve the following equations:

A sequence has nth term 6n + 4.

The angles of a triangle are x°, (x+20)° and (x+100)°.

The quadrilateral below has an 80° angle, a right angle, and an exterior angle of 115° at the third corner (so the interior angle there is 65°). Calculate x and y.

For a 4-bladed pinwheel shape (no line symmetry, but turns onto itself):

For a nonagonal prism:

Three vertices of rectangle PQRS are P(-4,-2), Q(1,-2) and R(1,2).

A bag contains 5 peach, 6 grape and 1 kiwi counter.

The bar chart shows the number of pages (in tens) a pupil read each day of one week.

A session starts at 14:20 and ends at 16:55.

A jogger runs 20 miles in 2 hours 30 minutes. What is their average speed, in mph?

Sophie is currently 5 times as old as her brother. In 3 years, the sum of their ages will be 48.

A watch priced at £56 is increased in price by 25%, and then the new price is decreased by 20%.

In a year group of 100 students, 58 like physics, 44 like chemistry, and 22 like both.

Find the missing digit d so that the six-digit number 9d2648 is divisible by 9.

Using the symbols ♔, ♕ and ♖ for three different numbers: ♔+♕=34, ♖+♕=29, ♔+♖=31.

What is the smaller of the two angles between the hour hand and minute hand of a clock at 2:40?

How many different 2-digit codes, with no repeated digits, can be formed using the digits 3, 5, 7 and 9?

Calculate 9⅓ - 6¾, giving your answer as a mixed number in its simplest form.

A rectangular garden measures 33m by 18m. A right-angled triangular pond with legs 15m and 10m 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+15) cm. Its perimeter is 50cm.

22 workers can finish a job in 3 hours, all working at the same steady rate.

I am thinking of a number. When I subtract 6 from it and double the result, I get 44. What is the number?

A stack of cards A, B and C are in the ratio 7:10:22. There are 45 more C cards than A cards.