The table shows the lengths of five rivers.
| River | Length (km) |
| Trent | 297 |
| Don | 112 |
| Severn | 354 |
| Thames | 346 |
| Mersey | 113 |
Write down the rivers in order of length.
Start with the shortest river.
(1)
Ami says,
“The River Thames is more than three times as long as the River Don.”
Show that Ami is correct.
(1)
Cups are sold in packs and in boxes.
There are 12 cups in each pack. There are 18 cups in each box.
Alison buys p packs of cups and b boxes of cups.
Write down an expression, in terms of p and b, for the total number of cups Alison buys.
(2)
Here are four digits.
5 6 1 9
Write down the smallest possible two digit number that can be made with two of the digits.
(1)
Write down the three digit number closest to 200 that can be made with three of the digits.
(1)
A path is made of white tiles and grey tiles. 
of the tiles are white.
Write down the ratio of white tiles to grey tiles.
(1)
There is a total of 56 tiles.
Work out the number of grey tiles.
(2)
Here is a list of numbers.
12 15 14 17 22 19 13
Bridgit says,
“To work out the median you find the middle number, so the median of these numbers is 17”
Bridgit’s answer is not correct.
What is wrong with Bridgit’s method?
(1)
Work out the range of the numbers in the list.
(2)
Work out the mean of the numbers in the list.
(2)
Priti is going to have a meal. She can choose one starter and one main course from the menu.
Write down all the possible combinations Priti can choose.
(2)
Joanne wants to buy a dishwasher.
The dishwasher costs £372
Joanne will pay a deposit of £36 She will then pay the rest of the cost in 4 equal monthly payments.
How much is each monthly payment?
(2)
Davos is a cleaner.
The table shows information about the time it will take him to clean each of four rooms in a house.
| Room | Time |
| Kitchen | 2 hours |
| Sitting room | 1 hour 40 minutes |
| Bedroom | 112 hours |
| Bathroom | 45 minutes |
Davos wants to clean all four rooms in one day. He will have breaks for a total time of 75 minutes.
Davos is going to start cleaning at 9 am.
Will he finish cleaning by 4 pm? You must show all your working.
(3)
ABC is a straight line.
The length AB is five times the length BC. AC = 90 cm.
Work out the length AB.
(3)
T = 4 v + 3
Work out the value of T when v = 2
(2)
Make v the subject of the formula T = 4 v + 3
(2)
The diagram shows a cube of side length 2 cm.
Vera says,
“The volume of any solid made with 6 of these cubes is 48 cm³ ”
Is Vera correct? You must show your working.
(2)
Draw a cuboid that can be made with 6 of these cubes. Write the dimensions of the cuboid on your diagram.
(1)
Work out the surface area of your cuboid.
(2)
The size of the largest angle in a triangle is 4 times the size of the smallest angle. The other angle is 27° less than the largest angle.
Work out, in degrees, the size of each angle in the triangle. You must show your working.
(5)
Andy went on holiday to Canada. His flights cost a total of £1500
Andy stayed for 14 nights. His hotel room cost $196 per night.
Andy used wifi for 12 days. Wifi cost $5 per day.
The exchange rate was $1.90 to £1
Work out the total cost of the flights, the hotel room and wifi. Give your answer in pounds.
(5)
If there were fewer dollars to £1, what effect would this have on the total cost, in pounds, of Andy’s holiday?
(1)
E = {odd numbers less than 30} A = {3, 9, 15, 21, 27} B = {5, 15, 25}
Complete the Venn diagram to represent this information.
(4)
A number is chosen at random from the universal set, E.
What is the probability that the number is in the set A 
B?
(2)
Solve the simultaneous equations
3 x + y = –4 3 x – 4 y = 6
(3)
The table shows some information about the dress sizes of 25 women.
| Dress size | Number of women |
| 8 | 2 |
| 10 | 9 |
| 12 | 8 |
| 14 | 6 |
3 of the 25 women have a shoe size of 7
Zoe says that if you choose at random one of the 25 women, the probability that she has either a shoe size of 7 or a dress size of 14 is 
because
Is Zoe correct? You must give a reason for your answer.
(1)
Daniel bakes 420 cakes. He bakes only vanilla cakes, banana cakes, lemon cakes and chocolate cakes. 
of the cakes are vanilla cakes. 35% of the cakes are banana cakes. The ratio of the number of lemon cakes to the number of chocolate cakes is 4:5
Work out the number of lemon cakes Daniel bakes.
(5)
In the diagram, AB, BC and CD are three sides of a regular polygon P.
Show that polygon P is a hexagon. You must show your working.
(4)
The density of apple juice is 1.05 grams per cm3.
The density of fruit syrup is 1.4 grams per cm3.
The density of carbonated water is 0.99 grams per cm3.
25 cm3 of apple juice are mixed with 15 cm3 of fruit syrup and 280 cm3 of carbonated water to make a drink with a volume of 320 cm3.
Work out the density of the drink. Give your answer correct to 2 decimal places.
(4)
Show that these two triangles are mathematically similar.
(2)
Complete the table of values for y 
| x | 0.5 | 1 | 1.5 | 2 | 3 | 4 | 5 | 6 |
| y | 6 | 3 | 1.5 |
(2)
On the grid below, draw the graph of y = 
for values of x from 0.5 to 6
(2)
Harley’s house has a value of £160 000 correct to 2 significant figures.
Write down the least possible value of the house.
(1)
Write down the greatest possible value of the house.
(1)
The value of Rita’s house increased by 5%. Her house then had a value of £210 000
Work out the value of Rita’s house before the increase.
(2)
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