Write down the mathematical name of this solid. Choose from the list of names in the box.
[1]
Write down the mathematical name of this polygon.
[1]
On the grid below, sketch a quadrilateral with these properties.
• All angles are equal
and
• the diagonals are not at right angles to each other.
[1]
Round £3.2875 to the nearest penny.
[1]
Write down the three factors of 25.
[2]
Write down a square number between 40 and 70.
[1]
Find the number that is halfway between 4.2 and 6.
[2]
Four lines meet at a point.
Work out the size of angle a.
[2]
A painter mixes red paint and yellow paint in the ratio 2: 3. They make a total of 1.5 litres of paint.
Work out how much red paint they use. Give your answer in millilitres.
[3]
The diagram shows a cuboid with dimensions 12 cm, 5 cm and x cm.
The volume of the cuboid is 240 cm3.
Find the value of x.
[3]
Heidi and Yoshi compete in the same car race. Heidi completes the race in 6 hours. Heidi’s average speed was 50 miles per hour. Yoshi’s average speed was 48 miles per hour.
Calculate how long it took Yoshi to complete the race. Give your answer in hours and minutes.
[4]
Alex and Emma use this recipe to make scones. The recipe shows the ingredients needed to make 16 scones.
Alex makes 24 scones.
He uses a tablespoon to measure the amount of milk he needs. The size of a tablespoon is 15 ml.
How many tablespoons of milk should Alex use to make 24 scones?
[3]
Emma has 1 kg of flour and 240 g of sultanas. She has lots of all of the other ingredients.
Work out the maximum number of scones that Emma can make. You must show your working.
[4]
140 people are asked if they have a bicycle (B) or a car (C).
• 22 people only have a bicycle.
• 72 people only have a car.
• 29 people have both a bicycle and a car.
Show this information on the Venn diagram.
[1]
How many people do not have a bicycle or a car?
[1]
Write your answer in the correct place on the Venn diagram.
[1]
One of the 140 people is chosen at random.
Work out the probability they have a car.
[2]
The costs to hire a motorhome are shown below.
Finley hired a motorhome and travelled 560 miles. The total cost of hiring the motorhome was £916.
Calculate how many days Finley hired the motorhome for. You must show your working.
[5]
A climber is in a competition.
Here are their scores after two events.
Event 3 is out of 52 points.
The climber’s overall score is found by adding the three scores together.
Find the score the climber needs in event 3 to achieve 85% of the total points.
[4]
For each graph below, select its possible equation from this list.
A y = - 3 B y = x C y = x + 1
D y = x2 E x = -3 F y = x3
Write the letter of the equation beneath each graph.
[2]
Here are two functions.
When the input of each function is 6, the output of Function A is equal to the output of Function B.
Work out the value of p in Function B.
[4]
Multiply out.
5 a (2 - a)
[2]
A prime number is a whole number that has exactly two factors.
Explain why 1 is not a prime number.
[1]
a and b are prime numbers. Write down the 6 factors of a2b.
[2]
The table shows the results for a sports club’s ‘A’ team.
| Result | Frequency |
| Win | 18 |
| Draw | 10 |
| Lose | 12 |
| Total | 40 |
Complete a labelled pie chart to show these results.
[4]
Here are the results for the sports club’s ‘B’ team and ‘C’ team.
‘B’ team
‘C’ team
The ‘C’ team manager says
The pie charts show that the ‘C’ team won more games than the ‘B’ team.
Referring to the pie charts, explain why the ‘C’ team manager may not be correct.
[1]
The graph shows Taylor’s journey from home to an airport. During the journey Taylor stops for petrol.
For how long did Taylor stop for petrol?
[1]
Taylor drives the same route back home from the airport at an average speed of 45 km / h. Taylor leaves the airport at 22:00.
Work out the time when Taylor arrives home.
[4]
Write an expression for the weight, in grams, of an object weighing x kilograms.
[1]
Write an expression for the area, in m2, of a garden of area ycm2.
[1]
A student is using trigonometry to work out an angle, B, in a right-angled triangle. They tell the teacher that sin B = 
Explain why this student must be wrong.
[1]
Here is a right-angled triangle.
Work out the value of x.
[3]
On a bus route there is a set of traffic lights and a level crossing. The probability that the bus stops at the traffic lights is 0.7. The probability that the bus stops at the level crossing is 0.2.
Use the information to complete the tree diagram.
[3]
Find the probability that the bus stops at either the traffic lights or at the level crossing but not both.
[3]
The measurements, in centimetres, of two triangles are shown in the table.
| Side 1 | Side 2 | Side 3 | |
| Triangle 1 | 2.5 | 3.2 | 4 |
| Triangle 2 | 7 | 8.96 | 11.2 |
Are the two triangles mathematically similar? Show how you decide.
[3]
Are these two triangles definitely congruent? Give a reason.
[1]
2 kg of carrots and 5 kg of potatoes cost £6.36. 3 kg of carrots and 2 kg of potatoes cost £5.25.
Find the cost of 1 kg of carrots and the cost of 1 kg of potatoes. You must show your working.
1 kg of carrots cost £........
1 kg of potatoes cost £........
[5]
Riley and Sam are conducting surveys. They are both given the same list of 12 463 people from which to select their sample.
Riley selects every 56th person. Sam selects every 64th person. They both start counting from the first name in the list.
Work out how many people will be selected to be in both surveys. You must show your working.
[5]
XOY is a sector of a circle, centre O.
Show that the area of the sector is 15.3 cm2, correct to 3 significant figures.
[3]
The paper as printed
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