Week 13 · Maths Practice Paper

(a) Draw all of the lines of symmetry on the shape on the left (like a 'no entry' road sign). (b) How many lines of symmetry does the star on the right have?

From the numbers in the box below, write down:

3      4      8      15      21      27      32      40      48

(a) The quadrilateral below has a right angle at one corner, 95° at another, and an exterior angle of 140° at a third corner (so the interior angle there, x°, is supplementary to it). Calculate x and y. (b) In the second diagram, an isosceles triangle (apex q, base angle p = 54°) sits with a vertical line through its apex and a straight line through its other base vertex, crossing to form angles r, s, t, u. Calculate q, r, s, t and u.

Zara sat by a river and recorded the number of cyclists that passed by every minute. She plotted a bar chart of her results.

A gardener measures night time temperatures over two evenings.

Solve the following equations:

A shaded shape has vertices at (1,2), (1,4), (5,4), (5,3) and (3,1), with a horizontal mirror line AB along y = 0. What are the coordinates of the reflected shape's vertices?

Write the next two terms in each of the following sequences:

The perimeter of a rectangle is 26cm. One of the sides has length 9cm. Calculate the lengths of the other three sides.

Estimate the following by first rounding each number to the nearest whole number:

The contents of part of a wardrobe are shown in the pie chart below (Shoes 60%, Hats 15%, Boots 15%, Gloves 10%). What fraction, in its simplest form, of Footwear (shoes and boots only) are boots?

Amir has GBP 3.15 and Priya has GBP 6.45. Priya gives Amir some 5p coins. Each now has the same amount of money. How many 5p coins did Priya give Amir?

Circle the most appropriate unit of measure for the following:

A box of chocolates contains one Mars, one Bounty, one Twix, and twelve Snickers. Priya chooses a chocolate at random. State whether the probability that the chocolate will be each of the following is: impossible, unlikely, even chance, likely, or certain.

(a) Which is the greater: 4 × 2³ or 3 × 3² ? (b) By how much? (c) Write down two cube numbers which are also square numbers.

If: (5x) × (38) = 524. Calculate the value of x.

There are x sheep, y goats and one three-legged chicken in a field.

An alloy contains copper and zinc in the ratio 7 parts to 2 parts.

A large cube is made by gluing together 125 smaller white and grey unit cubes (a 5×5×5 arrangement) of volume 1cm³ each. If six grey cubes are removed from each face (and no removed cube is shared between two faces), what is the total volume remaining?

If a football weighs 250g plus one third of its own weight, how much does it weigh?

30 students have taken an exam and the mean number of marks is recorded as 80. The examiner subsequently awards 6 additional marks to 10 of the students and takes away 4 marks from 9 other students. What will the new mean mark be?

The centre of a square is at the point (2, 3) and one of the vertices (corners) of the square is at the point (6, 6).

The number of leaf cutter ants doubles every day for the first week. If there were 15 at the end of the first day:

Find, in terms of x, the perimeter of a triangle with sides 5x - 4, 3x + 2, and 7 - 3x.

One of the angles of an isosceles triangle is 104°. Find the sizes of the other two angles.

Mrs Smith is 28 years older than her son. The sum of their ages is 76 years. How old is Mrs Smith?

A metal rod is 9 35 metres long. How many short rods 25 metres long can be cut from the longer rod? Show full working.

Two different clocks show the time 3 o'clock. The first gains 6 minutes per hour and the second gains 18 minutes per hour. How long will it be in hours before both clocks look as though they show the same time?

A 'double-decker' sandwich has three slices of bread and two layers of filling (e.g. bread/filling/bread/filling/bread). Each slice of bread has to be buttered on each side that is in contact with the filling. Priya makes as many of these sandwiches as possible from a sliced loaf which has 25 usable slices, excluding crusts which are not used. How many sides of bread does she have to butter?

Find the missing digit d such that the five-digit number 3d4d6 (where both occurrences of d are the same digit) is divisible by 9.