Question 1
Write the following numbers in order. Start with the lowest number. 4 –3 7 2 –1
(1)
Write the following numbers in order. Start with the lowest number. 4 –3 7 2 –1
(1)
Change 5000 millilitres to litres.
(1)
(1)
Write down the multiple of 7 that is between 30 and 40
(1)
Complete the statement below to make it correct.
(1)
Ben sells houses. The pictogram shows information about the number of houses Ben sold in each of the first three months of last year.
Write down the number of houses Ben sold in January.
In April, Ben sold 11 houses.
(1)
Show this information on the pictogram. Ben sold a total of 60 houses in the first five months of last year.
(1)
Work out the number of houses Ben sold in May.
(3)
Measure the length of this line. Give your answer in centimetres.
(1)
Measure the size of the angle marked x.
(1)
In the space below, draw a hexagon.
(1)
The points A and B are shown on the grid.
Find the coordinates of the midpoint of AB.
(2)
On the grid, mark with a cross () the point with coordinates (– 4, 2) Label this point C.
(1)
Anil has a job as a driver. He is paid for each mile he drives. He is also paid expenses. One week Anil writes down the distance readings from his car. Start of week: 4 7 2 4 1 miles End of week: 4 7 8 7 9 miles For this week, Anil is paid 47p for each mile he drives. He is also paid expenses of £80 Work out the total amount that Anil is paid. Give your answer in pounds.
(4)
Anita throws a coin 3 times. Each time the coin can land on heads (H) or tails (T). List all the possible outcomes.
(2)
Majid has a spinner.
Majid is going to spin the arrow. The arrow can land on 1 or on 2 or on 3 Majid says, “The probability that the arrow will land on 2 is because the spinner has three sections.” Is Majid correct? You must give a reason for your answer.
(1)
Saira buys 24 bars of chocolate. of the 24 bars are white chocolate. The rest of the 24 bars are milk chocolate. Each milk chocolate bar has a weight of 35 grams. Work out the total weight of the milk chocolate bars that Saira buys.
(3)
Simplify 2c3d
T = x + 2y x = 3 and y = – 4
(1)
Work out the value of T.
(2)
On Monday, Lizzie cycled 36 kilometres in 3 hours.
Work out Lizzie’s average speed.
........ kilometres per hour On Tuesday, Lizzie cycled 36 kilometres at an average speed of 16 kilometres per hour. Lizzie says that the total time she cycled on Monday and Tuesday was less than 5 hours 20 minutes.
(2)
Is Lizzie correct? You must show how you get your answer.
(3)
£3500 is invested in a bank for 6 years. The bank pays simple interest at a rate of 2.5% per year. Work out the total amount of simple interest paid.
(2)
You can use this graph to change between ounces and grams.
Here is a triangle ABC.
The region R consists of all points inside the triangle that are less than 4 cm from A and closer to C than to B. On the diagram show, by shading, the region R.
(3)
Mrs Simpson organised a school trip for 66 children. The total cost of the trip was £1800 The school paid 56% of the total cost. The rest of the total cost was divided equally between the 66 children. Work out how much money each child paid.
(3)
Write down all the numbers on your calculator display.
(2)
Write your answer to part (a) correct to 2 significant figures.
(1)
ABC is a right-angled triangle.
Work out the length of CB. Give your answer correct to 3 significant figures.
(2)
Write 90 as a product of its prime factors.
A = 223 B = 2
32
(2)
Write down the lowest common multiple (LCM) of A and B.
(1)
The number of hours, H, that some machines take to make 5000 bottles is given by H
where n is the number of machines. On Monday, 6 machines made 5000 bottles. On Tuesday, 9 machines made 5000 bottles. The machines took more time to make the bottles on Monday than on Tuesday. How much more time?
(2)
There are only red discs, blue discs and yellow discs in a bag. There are 24 yellow discs in the bag. Mel is going to take at random a disc from the bag. The probability that the disc will be yellow is 0.16 the number of red discs: the number of blue discs = 5: 4 Work out the number of red discs in the bag.
(4)
Complete the table of values for y = x2 – x
| x | –2 | –1 | 0 | 1 | 2 | 3 |
| y | 6 | 0 | 2 |
(2)
On the grid, draw the graph of y = x2 – x for values of x from –2 to 3
(2)
Use your graph to find estimates for the solutions of the equation x2 – x = 4
(2)
Andy, Luke and Tina share some sweets in the ratio 1: 6: 14 Tina gives of her sweets to Andy. Tina then gives 12
% of the rest of her sweets to Luke. Tina says,
“Now all three of us have the same number of sweets.” Is Tina correct? You must show how you get your answer.
(4)
ABCD is a quadrilateral.
All angles are measured in degrees. Show that ABCD is a trapezium.
(4)
ABC and DEF are two similar isosceles triangles.
DE = DF Work out the length of DE.
(2)
The table shows information about the weights of 120 oranges.
| Weight (w grams) | Frequency |
| 50 | 34 |
| 100 | 29 |
| 150 | 27 |
| 200 | 19 |
| 250 | 11 |
Find the class interval that contains the median.
(1)
Calculate an estimate for the mean weight of the 120 oranges. Give your answer correct to 3 significant figures.
(3)
The paper as printed
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