Question 1
Write the following numbers in order of size. Start with the smallest number. 0.32 0.4 0.35 0.309
(1)
Write the following numbers in order of size. Start with the smallest number. 0.32 0.4 0.35 0.309
(1)
Here is a list of numbers. 5 11 18 22 29 From the list, write down a multiple of 3
(1)
Write down the value of the 7 in the number 8765
(1)
Gita spins a fair 8‑sided spinner.
On the probability scale, mark with a cross (X) the probability that the spinner will land on C.
(1)
On the probability scale, mark with a cross (X) the probability that the spinner will land on D.
(1)
The incomplete pictogram shows information about the number of eggs sold from a farm shop on Monday.
On Monday the shop sold 18 eggs. On Tuesday the shop sold 24 eggs. On Wednesday the shop sold 27 eggs. Use this information to complete the pictogram and the key.
(4)
On the grid, mark with a cross (X) the point (–2, 1) Label this point C.
(1)
A bag contains red counters and blue counters only. number of red counters: number of blue counters = 3: 4 Write down the fraction of the counters that are red.
(1)
10Jenny has 12 marbles. of these 12 marbles are large. The rest of these 12 marbles are small. Each large marble has a weight of 70 grams. Each small marble has a weight of 50 grams. Work out the total weight of the 12 marbles.
(4)
Reflect the shaded shape in the mirror line.
(2)
12The diagram shows a number machine.
Find the output when the input is 7
(1)
Find the input when the output is 41
(2)
The diagram shows two points, A and B, on a map.
Scale: 1 to 25 000
Find the bearing of B from A.
(1)
Work out the real distance between A and B. Give your answer in kilometres.
(3)
Ishmael asked 30 students at college to tell him the sport they each like the best from cricket or tennis or swimming. 11 of the 20 female students said swimming. 2 of the male students said tennis. 5 students said cricket. The number of male students who said cricket was the same as the number of male students who said swimming. Complete the two‑way table.
(3)
Jamil makes a drink by mixing 1 part of orange squash with 9 parts of water. He uses 750 millilitres of orange squash. Jamil is going to put the drink he has mixed into 1 litre bottles. Work out the greatest number of 1 litre bottles that Jamil can completely fill.
(3)
The table gives information about the number of points scored by each of 16 students in
Tina worked out the median of the number of points scored to be 5
Explain why it is not possible for the median to be 5
Tina also worked out the total number of points scored by the 16 students in the game. Here is her working.
Tina made a mistake in her working to find the total number of points scored.
(1)
Describe the mistake that Tina made.
(1)
In a shop, a TV has a normal price of £500 The shop has a sale. On Monday, the normal price of the TV is reduced by to give the sale price. On Tuesday, the sale price of the TV is reduced by 20% Chris wants to buy the TV. He has £400 to spend on the TV. Does Chris have enough money to buy the TV on Tuesday? You must show how you get your answer.
(5)
Factorise 15y – 10
(1)
The first five terms of an arithmetic sequence are 1 4 7 10 13 Write down an expression, in terms of n, for the nth term of this sequence.
(2)
The diagram shows four graphs.
Each of the equations in the table is the equation of one of the graphs.
(2)
The diagram shows four triangles.
Two of these triangles are congruent. Write down the letters of these two triangles.
(1)
Sean pays £10 for 24 chocolate bars. He sells all 24 chocolate bars for 50p each. Work out Sean’s percentage profit.
(3)
ADC is a triangle.
EB is parallel to DC. Angle EBC = 148 Angle ADC = 63
Work out the size of angle EAB. You must give a reason for each stage of your working.
(5)
26The table shows information about the heights, in cm, of a group of Year 9 girls.
| least height | 150 cm |
| median | 165 cm |
| greatest height | 170 cm |
This stem and leaf diagram shows information about the heights, in cm, of a group of 15 Year 9 boys.
Compare the distribution of the heights of the girls with the distribution of the heights of the boys.
(3)
27The diagram shows a prism placed on a horizontal floor.
The prism has height 3 m The volume of the prism is 18 m3 The pressure on the floor due to the prism is 75 newtons/m2 Work out the force exerted by the prism on the floor.
(3)
Write these numbers in order of size. Start with the smallest number.
(2)
The paper as printed
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