1) Look at the plan of a garden below. In one corner of the garden is a shed. The garden and the shed are both rectangular. The ground in the shed is made of concrete. The garden is covered with grass. On the plan: 1 centimetre represents 3 metres. (a) Find the actual area of the shed on the plan. Write your answer in the space below. m² (b) Find the actual perimeter of the part of the garden which is covered with grass. Write your answer in the space below. metres 2) Look at the five fractions: ¾ ½ 1/10 ¼ ⅓ John writes these fractions in order from smallest to largest. Which fraction will be the middle fraction when John writes them in order? Write your answer in the space below.
3) Look at the 2 triangles below. The triangle ABC is isosceles. The sides AB and AC are the same length. The triangle DEF is equilateral. By how many degrees is angle x greater than angle y? Write your answer in the space below. ⁰ 4) Look at the hexagon below. There are 6 equal angles drawn at the centre of the hexagon. Each angle is x⁰. Write the value of x in the space below. ⁰
5) Look at the stopwatch below. The hand on the stopwatch is pointing to 15. The hand now moves clockwise through 210⁰. What number will the hand be pointing to after turning clockwise through 210⁰? Write your answer in the space below. ⁰
6) The diagram below shows a triangle. This triangle has been reflected in the dotted mirror line. The dotted line passes through the point with co-ordinates (9,0) and is parallel to the y axis. Each of the 3 vertices of the triangle is reflected to give 3 new points. These are joined to form a new triangle. Complete the table below by writing in the co-ordinates of the vertices of the new triangle. Two vertices have been done for you. Vertex Reflected vertex (2,8) (16,8) (5,5) (13,5) (7,13) 7) Use the information in the first statement below to complete the other statement. Write your answer in the space below. ¼ of a = 6 50% of a =
8) A map has the following scale: 1 centimetre represents 4 kilometres.two towns are 31.2 kilometres apart. How far apart are the towns on the map? Write your answer in the space below. cm 9) Look at the shape below. Find the perimeter of the shape. Write your answer in the space below. cm
10) Roger played a computer game. The computer game recorded his score each time he played it. The range of his scores was 11 His lowest score was 12 He played the game 5 times. His mean (average) score was 17 a) What was Roger s total score for the 5 games he played? Write your answer in the space below. b) What was Roger s highest score? Write your answer in the space below. 11) How many quarter litre glasses can be filled from a jug which holds 13.5 litres of water? Write your answer in the space below. glasses 12) Ruth leaves school at 4:50 pm and walks home at a steady speed. Carol lives 2 kilometres from the school. Carol arrives home at 5:30 pm. How many metres does Carol walks in one minute? Write your answer in the space below. metres
13) Sausages costs 9.40 for a kilogram. How much does 250 grams of sausages cost? Write your answer in the space below. 14) Look at the square below. Each of its sides is 10cm long. A triangle ABC is drawn in the square. What is the area of the triangle? Write your answer in the space below. cm²
15) Gerard takes 30 minutes to run 5000 metres at a steady speed. How long would he take to run 1 kilometre at the same steady speed? Write your answer in the space below. minutes 16) A jacket costs 75. It is reduced in price by 20% in a sale. What is the price of the jacket in the sale? Write your answer in the space below. 17) Flour costs 3.90 per kilogram. How much would 600g cost? Write your answer in the space below. 18) 1.75 litres of milk costs 3.64. a) What is the cost of a quarter litre of milk? Write your answer in the space below. pence b) What is the cost of milk per litre? Write your answer in the space below.
19) Look at the rule below: Multiply the previous number by 4 and subtract ½ You must use this rule to write a sequence of 4 numbers. The first 2 numbers in the sequence are done for you. Write the next 2 numbers in the space below. 2 7 ½ 20) Look at the five fractions below: 7/12, ⅚, 17/24, 39/48, ⅔ Sam writes these fractions in order from smallest to largest. Which fraction will be the middle fraction when Sam writes them in order? Write your answer in the space below. 21) Write a number in the space below that makes the statement true. 10 is % of 50 22) Work out the cost of 30 cm of fabric at 5.70 per metre. Write your answer in the space below.
23) Write a number in the space below that makes the statement true. 6 is 2/7 of 24) Use the information in the first statement below to complete the other statement. Write your answer in the space below. ⅙ of b = 56 50% of b = 25) A map has the following scale: 1 centimetre represents 6 kilometres. Two towns are 7.8 centimetres apart on the map. a) What is the actual distance between the towns? Write your answer in the space below. km b) Two car parks are 97.8 kilometres apart. How far apart are the car parks on the map? Write your answer in the space below. cm 26) A spinning top turns 4 ⅓ times before stopping. How many degrees has it turned through? Write your answer in the space below. ⁰
27) What is half of 7.4? Write your answer in the space below. 28) Here are 5 fractions: 17/24, ⅜, 4/6, ¾, ⅓ Which is the smallest fraction? Write your answer in the space below. 29) Look at the statements below. Tick each statement is true. ⅕ of a complete turn is an acute angle ⅖ of a complete turn is an obtuse angle ⅗ of a complete turn is more than 3 right angles 30) Look at the cuboid below. One face of a cuboid is a square. Each side of the square is 10cm. The volume of the cuboid is 2000cm³. What is the length of the line c? Write your answer in the space below. cm
31) A caramel square weighs 57 grams. Only 33 ⅓ % of its weight is caramel. How many grams of caramel are in 30 caramel squares? Write your answer in the space below. g 32) I have saved 25 coins in my money box. My money box contains at least 3 of each of the following coins: 2p 5p 10p 20p 50p 1 2 What is the greatest amount of money I could have in my money box? Write your answer in the space below. 33) Sweets costs 4.20 for 300g. How much would 1 kilogram cost? Write your answer in the space below. 34) I face South. I turn 135⁰ anti-clockwise. In what direction do I now face? Write your answer below in the space below.
35) A sausage roll weighs 150 grams. Only 30% of its weight is pastry. How many grams of pastry are in 30 sausage rolls? Write your answer in Kilograms in the space below. kg 36) Look at the rule below: Double the previous number and add ¼ You must use this rule to write a sequence of 4 numbers. The first 2 numbers in the sequence are done for you. Write the next 2 numbers in the space below. 8 16 ¼ 37) A square tile is shown below. Find the area of the shaded part of the square tile. Write your answer in the space below. cm²
38) Work out the cost of 70 cm of ribbon at 2.90 per metre. Write your answer in the space below. 39) An ice skater spins on the ice. He turns 5 ¾ times before stopping. How many degrees has he turned through? Write your answer in the space below. ⁰ 40) One of the decimal numbers below is bigger than 7 ⅔ and smaller than 7 ⅘ Tick the correct answer. 7.51 7.61 7.71 7.81 41) What is a quarter of 7.6? Write your answer in the space below.
42) The rectangle below is divided into squares of equal area. What percentage of the rectangle is shaded? Write your answer in the space below. % 43) Look at the statement below. There is a missing number. What number makes the statement true? Write the number in the space below. 30 is % of 150 44) Derek leaves home at 9:10 pm and cycles at a steady speed to the supermarket. The shop is 2 kilometres from her home. Derek arrives at the shop at 9:20 pm. How many metres does Derek cycle in one minute? Write your answer in the space below. metres 45) Mince steak costs 9.20 for a kilogram. How much does 750 grams of mince steak cost? Write your answer in the space below.
Answers 1) a) 72 b) 96 2) ⅓ 3) 10 4) 60 5) 50 6) (11,13) 7) 12 8) 7.8 9) 32.2 10) a) 85 b) 23 11) 54 12) 50 13) 2.35 14) 25 15) 6 16) 60 17) 2.34 18) a) 52 b) 2.08 19) 29 ½ or 29.5 11 3/10 or 11.3 20) 17/24 21) 20 22) 1.71 23) 21 24) 168 25) a) 46.8 b) 16.3 26) 1560 27) 3.7 28) ⅓ 29) ⅕ of a complete turn is an acute angle, ⅖ of a complete turn is an obtuse angle 30) 20 31) 570 32) 19.61 33) 14 34) North East 35) 1.35kg 36) 32 ½ or 32.5 65 ¼ or 65.25 37) 108 38) 2.03 39) 2070 40) 7.71 41) 1.9 42) 60 43) 20 44) 200 45) 6.90