Week 12 · Maths Practice Paper

Write down the names of the following shapes:

Put the following in order of size, with the smallest first.

0.56,      59,      49,      58%

Write the next term in the following sequences:

Arrange the digits 1, 2, 3, and 8 so that the resulting number is closest to three thousand.

State whether the following statements are: Certain, Likely, Evens, Unlikely, Impossible

Here are four statements. For each, put a tick if it is possible, or a cross if it is impossible.

A triangle can have 2 acute angles.   A triangle can have 2 obtuse angles.   A triangle can have 2 parallel sides.   A triangle can have 2 perpendicular sides.

Five lamp posts are in a straight line. The distance from each post to the next is 18m. What is the distance from the first post to the last?

A class of pupils were surveyed to find out their favourite number. The results are shown in the bar chart below:

According to a survey, the area of a town is 2847 km². Round this number:

The table shows information about some goal scorers across 3 football leagues:

Nadia has 5 times as much chocolate as Omar. Priya has 3 times as much chocolate as Omar. If Priya has 180g of chocolate, how much chocolate does Nadia have?

A right-angled triangle has the dimensions as shown. What is the area of the unshaded region?

Find 8% of 35.

Simplify the following algebraic expressions:

The diagram shows a rectangle. The length of the rectangle is 3n + 2 and the width is 4n - 7. Write down an expression for the perimeter of the rectangle. Fully simplify your answer.

Year 8 were asked to choose their favourite colour. The pie chart shows the results (the right angle mark shows that the Red sector is exactly 90°). If 30 pupils chose red:

Mia goes to the cinema. She buys a ticket for GBP 6.25, a snack for GBP 1.75 and a drink for 85p. Her return bus fare is GBP 4.20. If she leaves home with a GBP 20 note how much change does she return with?

Solve the following equations:

Write down two different odd prime numbers that add together to make a square number.

Priya has 4 brothers and 6 sisters. Her brother Omar has S sisters and B brothers. What is the value of S × B?

What is the remainder when: 528473 × 619284 is divided by 5?

Which fraction is half way between 29 and 59? Give your answer in its simplest form.

GBP 80,000 in GBP 20 notes weighs about 1.6Kg. How much, in grams, does one GBP 20 note weigh?

AB = AC in the isosceles triangle shown. Angle A = 52°.

18 shapes are either white or black circles or squares: 3 white circles, 4 black circles, 5 white squares, 6 black squares.

P (2,5), Q (6,3) and R (2,-3) are three vertices of a kite PQRS.

To make porridge, Goldilocks mixes 5 bags of oats with 1 bag containing 24% wheat bran and 76% oats. All the bags have the same volume. What percentage of the porridge mix is wheat bran?

When a glass is full of water the total mass is 500g. When the glass is half full of water the total mass is 390g. Find the mass of the glass.

A cube has shaded triangles on three of its faces, all meeting at a single vertex (each triangle connects the midpoints of the two edges meeting at that vertex, on its own face, plus the vertex itself). If the cube is unfolded into a net of 6 squares, how many of the six squares will contain a shaded triangle?

A shaded triangle has vertices at (2,3), (4,3) and (2,5) on a grid, with a vertical mirror line at x = 6. What are the coordinates of the reflected triangle's vertices?

A rectangle has a length of 60mm and has the same area as a square with side 90mm. Calculate the perimeter of the rectangle.

A bag contains 64 red balls and 1 blue ball. How many red balls should be removed for the bag to contain 95% red balls?

A ball is dropped and bounces up to a height that is 80% of the height from which it was dropped. It then bounces again to a height that is 80% of the previous height and so on. How many bounces does it make before it bounces to a height that is less than 20% of the original height?