Question 1
Change 40 centimetres into millimetres.
(1)
Change 40 centimetres into millimetres.
(1)
On the grid, reflect the shaded triangle in the mirror line.
(1)
Write down the value of the 6 in the number 16 007
(1)
Write these numbers in order of size. Start with the smallest number.
(1)
The pictogram gives information about the number of hours of sunshine on a Saturday and on a Sunday.
Work out the number of hours of sunshine on Saturday.
(1)
Simon buys some candles. Each candle costs £2 Simon pays with a £20 note. He gets £6 change. Work out the number of candles Simon buys.
(3)
The bar chart shows information about the total rainfall each month for four months in a city.
In May, the total rainfall was 35 cm. In June, the total rainfall was 20 cm.
Use this information to complete the bar chart. Rupa says, “In February there was 15.5 cm of rainfall because the bar is half a square above 15”
(2)
Explain why Rupa is incorrect.
(1)
Here is a sequence of patterns made from grey square tiles.
number 1 number 2 number 3 number 4
On the grid below, draw Pattern number 5
(1)
Complete the table.
| Pattern number | 1 | 2 | 3 | 4 | 5 | 6 |
| Number of squares | 1 | 3 | 5 | 7 |
(1)
In Norway last year, the lowest temperature was −15°C. In Norway last year, the highest temperature was 42°C greater than the lowest temperature. Work out the highest temperature in Norway last year.
(2)
At the end of October, Fiona’s electricity meter reads 88 738 kWh. At the end of November, her electricity meter reads 89 198 kWh. Each kWh of electricity Fiona uses costs 16p Work out how much Fiona had to pay for the electricity she used in November.
(4)
Give your answer as a fraction in its simplest form.
(2)
There are 15 sweets in a jar. 4 of the sweets are red. Jill takes at random a sweet from the jar.
Write down the probability that the sweet is red.
There are only green counters and blue counters in a bag. A counter is taken at random from the bag. The probability that the counter is green is 0.3
(1)
Find the probability that the counter is blue.
(1)
y = 6x − 5 Work out the value of y when x = 4
(2)
Work out an estimate for the value of 92 × 1.63 You must show all your working.
Given that 2.96 × 3.2 = 9.472
(2)
find the value of 29.6 32
(1)
Savio leaves his home at 07 30 to drive to work. He drives a distance of 50 miles. Savio thinks he drives at an average speed of 40 miles per hour.
If Savio is correct, at what time will he arrive at work?
In fact, Savio’s average speed was greater than 40 miles per hour.
(3)
How does this affect your answer to part (a)?
(1)
72 people did a test. 20 of the 32 adults who did the test passed. 6 of the children who did the test failed.
Use this information to complete the frequency tree.
(3)
One of these people is picked at random.
Find the probability that this person is an adult who failed the test.
(2)
18Here is a list of ingredients for making 10 scones.
Mia wants to make 25 scones. Work out how much sugar she needs.
(2)
The diagram shows three identical rectangles A, B and C.
Work out the fraction of rectangle B that is shaded.
(3)
Here are the ages, in years, of 15 people. 19 28 29 33 27 27 37 25 27 37 17 45 47 25 26
Show this information in a stem and leaf diagram.
(3)
The centimetre grid shows the plan and the front elevation of a cylinder.
Work out the volume of the cylinder. Give your answer in terms of π
(3)
Write 124 as a product of its prime factors.
(2)
A delivery company has a total of 160 cars and vans. the number of cars: the number of vans = 3: 7 Each car and each van uses electricity or diesel or petrol. of the cars use electricity. 25% of the cars use diesel. The rest of the cars use petrol. Work out the number of cars that use petrol. You must show all your working.
(5)
Write 1.63 × 10−3 as an ordinary number.
(1)
Write 438 000 in standard form.
(1)
Work out (4 × 103) × (6 × 10−5) Give your answer in standard form.
(2)
Here is a regular hexagon and a regular pentagon.
Work out the size of the angle marked x. You must show all your working.
(3)
Complete the table of values for y = x2 − 3x + 1
| x | −1 | 0 | 1 | 2 | 3 | 4 |
| y | 1 | −1 |
(2)
On the grid, draw the graph of y = x2 − 3x + 1 for values of x from −1 to 4
(2)
Using your graph, find estimates for the solutions of the equation x2 − 3x + 1 = 0
(2)
Here are two cubes, A and B.
Cube A has a mass of 81 g. Cube B has a mass of 128 g. Work out the density of cube A: the density of cube B Give your answer in the form a: b, where a and b are integers.
(3)
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