Rangan buys 3.6kg of potatoes and 2.8kg of leeks.
The total cost is $13.72.
Leeks cost $2.65 per kilogram.
Find the cost of 1 kg of potatoes.
$ ................................................
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Syllabus Edition
First teaching 2021
Last exams 2024
Rangan buys 3.6kg of potatoes and 2.8kg of leeks.
The total cost is $13.72.
Leeks cost $2.65 per kilogram.
Find the cost of 1 kg of potatoes.
$ ................................................
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Esme buys magazines at $2.45 each and cards at $3.15 each.
Write down an expression, in terms of and , for the total cost, in dollars, of the magazines and the cards.
$ ...................................................
Esme spends $60.55 in total.
She buys 8 magazines.
How many cards does she buy?
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is the mean of the three numbers , and .
Find the value of .
= ...................................................
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Julie and Liam write down the same number.
Julie multiplies the number by 5 and then adds 4 to the result.
She writes down her answer.
Liam subtracts the number from IO
He writes down his answer.
Julie's answer is two thirds of Liam's answer.
Work out the number that Julie and Liam started with.
You must show your working.
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A pattern is made using identical rectangular tiles.
Find the total area of the pattern.
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The diagram shows a trapezium.
= cm.
is the same length as .
is twice the length of .
is 4 cm longer than .
The perimeter of the trapezium is 38 cm.
Work out the length of .
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Gemma has the same number of sweets as Betty.
Gemma gives 24 of her sweets to Betty.
Betty now has 5 times as many sweets as Gemma.
Work out the total number of sweets that Gemma and Betty have.
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The diagram shows a right-angled triangle.
All the angles are in degrees.
Work out the size of the smallest angle of the triangle.
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is a triangle.
Angle = angle .
The length of side is cm.
The length of side is cm.
The length of side is cm.
Work out the perimeter of the triangle.
Give your answer as a number of centimetres.
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Here is a rectangle.
All measurements are in centimetres.
The area of the rectangle is 48 cm2.
Show that
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The diagram shows a parallelogram.
The sizes of the angles, in degrees, are
Work out the value of .
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The diagram shows a trapezium.
Work out the value of .
..................................................
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A cone with height 14.8 cm has volume 275 cm3.
Calculate the radius of the cone.
[The volume, , of a cone with radius and height is .]
............................................... cm
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The diagram shows a triangle.
In the diagram, all the measurements are in metres.
The perimeter of the triangle is 56 m.
The area of the triangle is A m2.
Work out the value of A.
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Here is a right-angled triangle.
Four of these triangles are joined to enclose the square as shown below.
Show that the area of the square is
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Becky has some marbles.
Chris has two times as many marbles as Becky.
Dan has seven more marbles than Chris.
They have a total of 57 marbles.
Dan says,
"If I give some marbles to Becky, each of us will have the same number of marbles."
Is Dan correct?
You must show how you get your answer.
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Here is a rectangle.
The length of the rectangle is 7 cm longer than the width of the rectangle.
4 of these rectangles are used to make this 8-sided shape.
The perimeter of the 8-sided shape is 70 cm.
Work out the area of the 8-sided shape.
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is a rectangle.
is a trapezium.
All measurements are in centimetres.
The perimeters of these two shapes are the same.
Work out the area of the rectangle.
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A cinema sells adult tickets and child tickets.
The total cost of 3 adult tickets and 1 child ticket is £30
The total cost of 1 adult ticket and 3 child tickets is £22
Work out the cost of an adult ticket and the cost of a child ticket.
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The diagram shows a trapezium.
All the measurements are in centimetres.
The area of the trapezium is 351 cm2.
Work out the value of x.
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The diagram shows the plan of a floor.
The area of the floor is 138 m2.
Work out the value of .
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3 teas and 2 coffees have a total cost of £7.80
5 teas and 4 coffees have a total cost of £14.20
Work out the cost of one tea and the cost of one coffee.
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The total perimeter of a semicircle is 19.02 cm.
Calculate the radius of the semicircle.
................................................ cm
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Paddy and Anna each invest $2000 for 5 years.
Paddy earns simple interest at a rate of 1.25% per year.
Anna earns compound interest at a rate of % per year.
At the end of 5 years, Paddy’s investment is worth the same as Anna’s investment.
Calculate the value of .
................................................
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is inversely proportional to the square of .
When
Find when .
..................................................
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is a square with a side length of
is the midpoint of .
is the point on where
is a right-angled triangle.
Find an expression, in terms of , for the area of triangle .
Give your expression in its simplest form.
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Here are two right-angled triangles.
Given that
find the value of .
You must show all your working.
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The lengths of the sides are in centimetres.
The area of triangle is equal to the area of triangle .
Work out the value of , giving your answer in the form where and are integers.
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There are only red counters and green counters in a bag.
A counter is taken at random from the bag.
The probability that the counter is green is
The counter is put back in the bag.
2 more red counters and 3 more green counters are put in the bag.
A counter is taken at random from the bag.
The probability that the counter is green is
Find the number of red counters and the number of green counters that were in the bag originally.
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The diagram shows a rectangle, , and two congruent triangles, and .
area of rectangle = area of triangle + area of triangle
Work out the length of .
.....................................cm
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Here is a right-angled triangle.
All measurements are in centimetres.
The area of the triangle is 2.5 cm2 .
Find the perimeter of the triangle.
Give your answer correct to 3 significant figures.
You must show all of your working.
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