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This is a NON – CALCULATOR paper.
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At a school disco there are always about 25% more girls than boys. If at one disco there were 60 boys, how many girls were there?
Work out the value of the following.
The diagram shows the area of three faces of a cuboid. The length of each edge of the cuboid is whole numbers in centimetres. Work out the volume of the cuboid.
Round 5288 to 2 significant figures
Maria shares £368 between her two children Alice and James. The ratio of Alice’s share to James share is 9 : 7. James then gives 5% of his share to Alice. How much does James have?
During a 1 month period, the number of days off from college by 100 students were noted as follows. Calculate the mean number of days off.
Find the value of the following
What is the size of the angle marked x?
What is the correct value of the following?
Harley travels from Crantham to Dantown at an average speed 60 mph. He then travels from Dantown to Eldertown at an average speed of 90 mph. Harley takes a total of 6 hours to travel from Crantham to Eldertown. The distance from Dantown to Eldertown is 270 miles. Calculate Harley’s average speed for the total distance travelled from Crantham to Eldertown.
What are the lengths of x and y in these similar triangles?
What is the value of x?
Here is the graph of y = f(x). Let P be the coordinates of the point where the graph of y = f(x) – 3 meets the y-axis. Find the coordinates of P
The graph of f(x + 3) meets the negative x-axis at point A. Work out the area of triangle AOP
Many people use their banking app on their phone phones to pay for items. Each day there are eight million payments from thirty two thousand phones. What is the average number of withdrawals per machine?
There are three different types of baguettes in the school canteen. There are 3 tuna, 7 cheese and 2 ham. Lorenzo takes 2 of these baguettes at random. What is the probability that he takes two different types of baguette?
P is directly proportional to r squared. If P = 36 when r = 3. Find P when r = 5.