Week 10 · Maths Practice Paper

Calculate the following, showing your working clearly

Place the following numbers in order of size from smallest to largest:

5.3102      5.1032      5.0132      5.0312

Circle the amounts below which can be made using exactly three UK coins

56p      57p      58p      59p      60p

Divide 734 by 9, giving your answer and the remainder.

Complete the boxes with +, -, ×, ÷ to make the statements correct. The first one has been done for you as an example.

8 (×) 3 = 24 = 28 (-) 4

Two of the shapes below fit together to make a square. Which are they?

Write these fractions in order of size from the smallest to the largest.

23      512      14      724      1124

Write down the next term for each of these sequences.

Put the following numbers into the correct positions in the Venn diagram below: 4, 6, 8, 9

Fill in the missing values in the table below to show the fraction, decimal and percentage equivalents of the numbers (row A is done for you as an example: 25, 0.4, 40%). Give fractions in their simplest form.

B: 34, ?, ?      C: ?, ?, 35%      D: ?, 0.56, ?

Priya makes a die from a net made of a strip of four squares (labelled 2, 5, 3, 6 left to right, which wrap around to form the four side faces), with an extra square labelled 1 above the 5, and an extra square labelled 4 below the 3.

Zara is making vegetable soup. 14 of the soup is made from carrots, 25 is made from lentils, and 18 is made from parsnips. The rest is made from tomatoes. If she makes 800g of soup in total,

Leo counts down in 7's starting from 400 until he passes zero. Which will be the last positive number which he counts?

A website advertises that, as a special offer, a new mobile phone game will cost 35% less to download next week. If the game costs 120p this week, how much will it cost next week?

A right-angled triangle has one leg of length 3cm and the other leg of length 4cm (so its hypotenuse is 5cm). The triangle is reflected in its own hypotenuse to make a kite. What is the perimeter of the completed kite-shaped figure?

4 x's balance with 9 y's. If one x weighs 2.7g, how much does one y weigh?

Triangle PQR is isosceles with PQ = PR. Angle QPR = 36°. A line is drawn from R to a point S on PQ such that angle QRS = 42°. What is the size of angle PSR?

The graph shows the number of people living in Meadowbrook from 1950 onwards.

In a lucky dip there are 12 envelopes. 8 envelopes contain a note saying 'Better luck next time!'. The other 4 envelopes contain prizes: one contains GBP 2, one contains GBP 4, one contains GBP 8, one contains GBP 10.

Jack has thought of two numbers. When he multiplies them together he gets 180. When he takes one number away from the other, he gets 3. What are the two numbers?

A farmer wants to put a fence along one edge of his field, which is 550m long. Every 5m, a post is needed to hold the rails up (including one at each end). How many posts does he need?

The diagram shows a U-shaped figure. The outer rectangle is 15cm wide and 9cm tall. A rectangular notch, 6cm wide and 4cm tall, is removed from the top middle, leaving a left column 7cm wide and a right column 2cm wide (both full height). Diagram NOT to scale.

ABCD is a kite, with A(2,5), B(6,9) and C(14,5) as shown. Write down the coordinates of vertex D.

How many minutes are there from 8:14 until 20:41 on the same day?

In Amir's pocket there are 10 strawberry jellybeans, 6 mint jellybeans and 5 fudge jellybeans. What is the smallest number of jellybeans that he must take out of his pocket to be certain that he takes at least one of each flavour?