Question 1
Write the following numbers in order of size. Start with the smallest number.
0.4 0.02 0.37 0.152 0.2
(1)
Write the following numbers in order of size. Start with the smallest number.
0.4 0.02 0.37 0.152 0.2
(1)
Here is a list of numbers.
3 5 7 12 15 18 20
From the list, write down a factor of 10
(1)
Write brackets () in this statement to make it correct.
(1)
Sue has 2 cats. Each cat eats of a tin of cat food each day.
Sue buys 8 tins of cat food.
Has Sue bought enough cat food to feed her 2 cats for 14 days? You must show how you get your answer.
(3)
There are only apple trees, cherry trees, pear trees and plum trees in an orchard.
The pictogram shows information about the numbers of apple trees, cherry trees and pear trees in the orchard.
There is a total of 30 trees in the orchard.
Complete the pictogram.
(3)
On the grid, draw the line with equation x = −4
(1)
g = 9 h = 4
Work out the value of 2 g + 3 h
(2)
Write down two prime numbers that have a sum of 32
(2)
Here are some fractions.
One of these fractions is not equivalent to
Tom uses his lorry to deliver bricks.
You can use this graph to find the delivery cost for different distances.
For each delivery, there is a fixed charge plus a charge for the distance.
Tom makes two deliveries of bricks. The distance of one delivery is 20 miles more than the distance of the other delivery.
Work out the difference between the two delivery costs.
(2)
Azmol, Ryan and Kim each played a game.
Azmol’s score was four times Ryan’s score. Kim’s score was half of Azmol’s score.
Write down the ratio of Azmol’s score to Ryan’s score to Kim’s score.
(2)
The diagram shows quadrilateral ABCD with each of its sides extended.
Show that ABCD is a kite. Give a reason for each stage of your working.
(4)
Shahid is going to use these instructions to make a fizzy drink.
Shahid thinks that he has 300 m l of orange juice and 200 m l of lemonade.
If Shahid is correct, what is the greatest amount of fizzy drink he can make?
(3)
Shahid has 300 m l of orange juice but he only has 160 m l of lemonade.
Does this affect the greatest amount of fizzy drink he can make? Give a reason for your answer.
(1)
Here are two rectangles.
Jim says,
“The two rectangles are similar because 8 + 4 = 12 and 6 + 4 = 10”
Is Jim correct? Explain your answer.
(1)
80 people are asked if they like coffee.
48 of these people are women. 61 of the 80 people like coffee. 8 of the men do not like coffee.
Use this information to complete the frequency tree.
(3)
One of the people who like coffee is chosen at random.
Find the probability that this person is a woman.
(2)
Food Mart and Jan’s Store sell boxes of the same type of breakfast cereal.
Each shop has a special offer.
Which box of cereal is the better value for money? You must show your working.
(4)
A bonus of £2100 is shared by 10 people who work for a company. 40% of the bonus is shared equally between 3 managers. The rest of the bonus is shared equally between 7 salesmen.
One of the salesmen says,
“If the bonus is shared equally between all 10 people I will get 25% more money.”
Is the salesman correct? You must show how you get your answer.
(5)
It would take 120 minutes to fill a swimming pool using water from 5 taps.
How many minutes will it take to fill the pool if only 3 of the taps are used?
(2)
State one assumption you made in working out your answer to part (a).
(1)
A plane travels at a speed of 213 miles per hour.
Work out an estimate for the number of seconds the plane takes to travel 1 mile.
(3)
Is your answer to part (a) an underestimate or an overestimate? Give a reason for your answer.
(1)
Solve the simultaneous equations
5 x + y = 21 x − 3 y = 9
(3)
The diagram shows a square ABCD with sides of length 20 cm. It also shows a semicircle and an arc of a circle.
AB is the diameter of the semicircle. AC is an arc of a circle with centre B.
(4)
Amina has two bags.
In the first bag there are 3 red balls and 7 green balls. In the second bag there are 5 red balls and 4 green balls.
Amina takes at random a ball from the first bag. She then takes at random a ball from the second bag.
Complete the probability tree diagram.
(2)
Work out the probability that Amina takes two red balls.
(2)
The size of each interior angle of a regular polygon is 11 times the size of each exterior angle.
Work out how many sides the polygon has.
(3)
The paper as printed
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