Question 1
Write 0.37 as a fraction.
(1)
Write 0.37 as a fraction.
(1)
Write 29 381 correct to the nearest 1000
(1)
Simplify 3e – e + 4e
(1)
(1)
Here is a list of numbers. 3 4 9 18 27 30 36 From the numbers in the list, write down a cube number.
(1)
Liz is watching a film at the cinema. The film started at 14 30 The film is 105 minutes long. When the film ends, Liz takes 20 minutes to get to the bus stop. A bus leaves the bus stop at 16 45 Does Liz get to the bus stop in time to get this bus? You must show all your working.
(3)
Farhad, George and Tom each did a test. Here are their marks for the test.
| Farhad | 74 |
| George | 77 |
| Tom | 72 |
George drew this bar chart to show the marks they got. The bar chart is not fully correct.
Write down two things that are wrong with George’s bar chart.
(2)
ABC is a straight line.
Work out the size of the angle marked x.
(1)
Give a reason for your answer.
The diagram below is wrong.
(1)
This scale can be used to change between kilometres and miles.
Use the scale to change 40 kilometres to miles.
Here is an approximate rule to change from kilometres to miles.
(1)
Use this approximate rule to change 40 kilometres to miles.
(2)
Compare your answer to part (b) with your answer to part (a).
(1)
Solve 3 m = 36
(1)
Solve 7 – x = 3
(1)
Here is a cuboid.
Work out the volume of the cuboid.
(3)
Lucy uses a code to open a lock. The code is a letter followed by a 2-digit number. The letter is L or U. The number is a prime number between 20 and 30 Write down all the possibilities for Lucy’s code.
(2)
A machine fills bags with sweets. There are 4275 sweets. There are 28 sweets in each full bag. The machine fills as many bags as possible. How many sweets are left?
(3)
14The table gives information about the number of goals scored by each of three teams.
| Team | Number of goals |
| City | 50 |
| Rovers | 45 |
| United | 25 |
Draw an accurate pie chart for this information.
(3)
T = 3x + 4y
Work out the value of T when x = 5 and y = –7
(2)
Work out the value of y when T = 38 and x = 6
(2)
An exam has two papers, Paper 1 and Paper 2 Paper 1 has 60 marks. Paper 2 has 90 marks. The pass mark is of the total number of marks. Danielle gets 70% of the marks for Paper 1 How many of the marks for Paper 2 must Danielle get in order to get the pass mark?
(4)
Scott wants to make orange juice. He is going to buy boxes of oranges.
Scott needs to buy enough oranges to make 8 litres of orange juice.
Work out the number of boxes of oranges that Scott needs to buy. You must show all your working.
Scott also buys 1260 apples 280 bananas
(3)
Write down the ratio of the number of apples that Scott buys to the number of bananas that he buys. Give your ratio in its simplest form.
(2)
Describe fully the single transformation that maps triangle A onto triangle B.
(2)
Adam, Linda and Rytis share an amount of money. Linda gets three times as much money as Rytis gets. Linda gets half as much money as Adam gets. What fraction of the amount of money does Linda get?
(2)
Pens and pencils are sold in a shop. 12 pencils cost £1.80 The ratio of the cost of a pen to the cost of a pencil is 7: 3 Work out the cost of 5 pens.
(4)
Write 84 as a product of its prime factors.
(2)
Find the lowest common multiple (LCM) of 60 and 84
(2)
E = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A = {even numbers} B = {factors of 10}
Complete the Venn diagram for this information.
A number is chosen at random from the universal set, E
(3)
Find the probability that this number is in the set A B
(2)
Carlo puts tins into small boxes and into large boxes. He puts 6 tins into each small box. He puts 20 tins into each large box. Carlo puts a total of 3000 tins into the boxes so that number of tins in small boxes: number of tins in large boxes = 2: 3 Carlo says that less than 30% of the boxes filled with tins are large boxes. Is Carlo correct? You must show all your working.
(5)
Complete the table of values for y = 5 – x3
(2)
On the grid below, draw the graph of y = 5 – x3 for values of x from –2 to 2
(2)
Work out the value of x. Give your answer correct to 1 decimal place.
(2)
The diagram shows a right-angled triangle and a quarter circle.
The right-angled triangle ABC has angle ABC = 90 The quarter circle has centre C and radius CB. Work out the area of the quarter circle. Give your answer correct to 3 significant figures. You must show all your working.
(4)
28Each exterior angle of a regular polygon is 15 Work out the number of sides of the polygon.
(2)
Write down the gradient of the line with equation y = 2 x + 3
(1)
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