Write in figures the number seventy thousand, two hundred and sixteen.
(1)
Write down a common factor of 20 and 30
(1)
Write down a square number that is between 20 and 40
(1)
Find the cube root of 3375
(1)
Write brackets in the following calculation so that the answer is correct.
42 – 6 ÷ 6 – 3 = 40
(1)
Egor rolled a dice 24 times. Here are his results.
| 2 | 3 | 5 | 4 | 6 | 2 |
| 1 | 3 | 3 | 5 | 1 | 3 |
| 3 | 5 | 5 | 6 | 2 | 5 |
| 4 | 3 | 4 | 3 | 3 | 4 |
Complete the frequency table for Egor’s results.
(2)
Write down the mode of the numbers that Egor rolled.
Egor thinks the dice he rolled is biased.
(1)
Give a reason why the results could show that the dice is biased.
(1)
The diagram shows a line AB.
At the point A draw an acute angle. Label your acute angle a.
The diagram shows a circle with centre O.
(1)
Here is a shape made from squares.
What fraction of this shape is shaded?
(1)
(1)
Write these decimals in order of size. Start with the smallest decimal.
3.61 3.9 3.555 3.82 3.7
(1)
In the diagram, A, B, C and D are points on a straight line.
AB = 30 cm AC = 96 cm BC = 3CD
Work out the length of AD.
(3)
Diego left home on Tuesday at 07 50 He arrived home on the same Tuesday at 17 35
Work out the length of time that Diego was away from home on Tuesday. Give your answer in hours and minutes.
(2)
P, Q and R are three points marked on a grid.
Write down the coordinates of point Q.
S is the point such that PQRS is a rectangle.
(1)
Find the coordinates of point S.
(1)
Find the coordinates of the midpoint of PR.
(2)
Lin has 60 bricks. He puts his 60 bricks into a bag.
Some information about the 60 bricks is shown in the two-way table.
Complete the two-way table.
(3)
One of the bricks is taken at random from the bag.
Write down the probability that this brick is blue.
Lin now puts all his large bricks into a sack. He takes at random a large brick from the sack.
(1)
Write down the probability that this large brick is orange.
(2)
Here is a sequence of patterns made from circles.
number 1
number 2
number 3
number 4
In the space below, draw Pattern number 5
(1)
Complete the table.
| Pattern number | 1 | 2 | 3 | 4 | 5 | 6 |
| Number of circles | 1 | 4 | 7 | 10 |
(1)
Work out the number of circles in Pattern number 8
C is the number of circles in Pattern number P
(1)
Write down a formula for C in terms of P
A different sequence of patterns is made from triangles. The rule to find the number of triangles in each pattern is
multiply the Pattern number by 5 and subtract 4
(2)
Is there a pattern in this sequence that is made from exactly 136 triangles? You must give a reason for your answer.
(1)
Here are four different numbers written in order of size.
3 6 m n
The range of the four numbers is 13 The median of the four numbers is 8.5
Find the value of m and the value of n.
(2)
Change 400 euros to Hong Kong dollars.
(1)
Change 418 dirham to euros.
(1)
Change 651 Hong Kong dollars to dirham.
(2)
Simplify k + k + k + k
(1)
Write f as a single power of 9
(1)
Write f as a single power of 3
(1)
Write 517 
52 as a single power of 5
(1)
Write 800 as a product of its prime factors. Show your working clearly.
(2)
Betsy was given $75 for her birthday.
She saved some of the money and spent the rest on a T-shirt and a bag.
Betsy saved 40% of the $75 She spent $12 more on the bag than she spent on the T-shirt.
Work out how much Betsy spent on the bag.
(4)
Iona buys a box of cereal.
The cereal in the box weighs 0.75 kg. Each helping of the cereal eaten by Iona has a weight of 40 g.
Write 40 g as a fraction of 0.75 kg. Give your answer in its simplest form.
The cereal in the box contains 6.8 g of protein for each 100 g of cereal.
(2)
Work out the amount of protein in each of Iona’s helpings of cereal.
3 g of every 40 g helping of cereal is fat.
(2)
Write 3 g as a percentage of 40 g.
(2)
ABC is a triangle. D and E are points such that ACD and BCE are straight lines.
reflex angle ABC = 298° angle ECD = 97°
Work out the size of angle x. Give a reason for each stage of your working.
(4)
The table gives information about the amount of money, in £, that Fiona spent in a
Work out an estimate for the total amount of money that Fiona spent in the grocery store during 2019
(3)
Three tins, A, B and C, each contain buttons.
Tin A contains x buttons. Tin B contains 4 times the number of buttons that tin A contains. Tin C contains 7 fewer buttons than tin A.
The total number of buttons in the three tins is 137
Work out the number of buttons in tin C.
(4)
Expand e (3 e – 5)
(1)
Factorise 35 + 5f
(1)
The diagram shows a rectangle and a diagonal of the rectangle.
Work out the length of the diagonal of the rectangle. Give your answer correct to 1 decimal place.
(3)
A plane takes 3 hours 36 minutes to fly from the Cayman Islands to New York. The plane flies a distance of 2470 km.
Work out the average speed of the plane in km/h. Give your answer correct to the nearest whole number.
(3)
Solve the simultaneous equations
Show clear algebraic working.
(3)
Hamish buys a new car for $20 000 The car depreciates in value by 19% each year.
Work out the value of the car at the end of 3 years. Give your answer to the nearest $.
(3)
The diagram shows a box in the shape of a cuboid.
The box is put on a table. The face of the box in contact with the table has length 1.2 metres and width x metres.
The force exerted by the box on the table is 27 newtons. The pressure on the table due to the box is 30 newtons/m2
Work out the value of x.
(3)
The table shows information about the surface area of each of the world’s oceans.
| Ocean | Surface area in square kilometres |
| Pacific | 1.56 108 |
| Indian | 6.86107 |
| Southern | 2.03 107 |
| Arctic | 1.41107 |
| Atlantic | 1.06108 |
Write 1.56
108 as an ordinary number.
(1)
Which ocean has the least surface area?
(1)
Work out the difference, in square kilometres, between the surface area of the Atlantic Ocean and the surface area of the Indian Ocean. Give your answer in standard form.
........ square kilometres
(2)
Write down the integer values of x that satisfy the inequality −2
x ≤4
The region R, shown shaded in the diagram, is bounded by three straight lines.
(2)
Write down the three inequalities that define the region R.
(2)
The diagram shows two congruent isosceles triangles and parts of two congruent regular polygons, X and Y.
The two regular polygons each have n sides.
Work out the value of n.
(3)
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