4MA1 Mathematics A: January 2019 Paper 2FRFoundation Tier Paper 2

(a)Write these decimals in order of size. Start with the smallest decimal.

[1]

(b)Write 7% as a decimal.[1]

(c)Write 0.47 as a fraction.[1]

(d)Write 0.63 as a percentage.

[1]

(e)Write a number in the box to make the calculation correct.

[1]

Amelie is using ribbon to make decorations.

She has 7 metres of ribbon. Each decoration needs 45 centimetres of ribbon.

What is the greatest number of decorations that Amelie can make?[3]

(a)Shade 37 of the rectangle.[1]

(b)Write 233 as a mixed number.[1]

(c)Find 25 of 60 cm.

[2]

Claude says that 16 is exactly halfway between 14 and 18

(d)Is Claude correct? You must give a reason for your answer.[2]

The pictogram gives information about the number of cakes Peony baked on Monday, on Tuesday, on Wednesday and on Thursday.

(a)How many cakes did Peony bake on Wednesday?[1]

Peony baked more cakes on Thursday than on Monday.

(b)How many more?[1]

Peony baked 20 cakes on Friday.

(c)Show this information on the pictogram.[1]

The table gives the midnight temperatures on 1st January for five cities in the USA.

Here are the temperatures in °C.

(a)Write these numbers in order of size. Start with the smallest number.[1]

(b)Work out the difference between the midnight temperature in Orlando and the midnight temperature in Boston.

[1]

(c)Work out the temperature that is exactly halfway between 8 °C and –6 °C.

[1]

On 1st January the midnight temperature in Minneapolis was 10 °C lower than the midnight temperature in Philadelphia.

(d)Work out the midnight temperature in Minneapolis.

[1]

80 students studying sciences were asked which science subject they liked the best.

Some information about the results is shown in the two-way table.

(a)Complete the two-way table.[3]

One of the students is picked at random.

(b)Write down the probability that this student is a girl.[1]

One of the girls is picked at random.

(c)Write down the probability that this girl likes Chemistry the best.[2]

Here is a number machine.

(a)Work out the output when the input is 8[1]

(b)Work out the input when the output is 120[2]

A train journey started at 17 50 and finished at 02 25 the next day.

How long did the train journey take? Give your answer in hours and minutes.

[2]

Pierre bought

2 cups of coffee at 2.10 euros a cup 2 cups of tea at 1.80 euros a cup

Pierre paid with a 20 euro note. He received 8.75 euros change.

The cost of each croissant was the same.

Work out the cost of 1 croissant.

[3]

Here is a sketch of triangle ABC.

In the space below, make an accurate drawing of triangle ABC. The line AB has been drawn for you.

[2]

(a)Factorise 3x² – x[1]

(b)Expand 4(2y + 3)[1]

C = 5a + 4d

(c)Work out the value of C when a = –3 and d = 6

[2]

P = 3t² + 7t

(d)Work out the value of P when t = – 4

[2]

The diagram shows the plan of the floor in a room.

Alonso is going to cover the floor once with polish. He buys some tins of polish.

Each tin has enough polish to cover 14 m² of the floor. Each tin costs 9.59 euros.

Work out the total cost of the tins that Alonso needs to buy.

[5]

(a)Solve 7x + 3 = x – 18

[2]

(b)Make w the subject of t = 7w + 3[2]

Pencils cost 2 dollars each. Rulers cost 3 dollars each.

Edith buys p pencils and r rulers. The total cost is T dollars.

(c)Write down a formula for T in terms of p and r.[3]

ABC, DECF and EBG are straight lines.

Work out the value of x. Give a reason for each stage of your working.

[4]

The table gives information about the number of days that 100 cars were in an airport car park.

0 < d  4 16

4 < d  8 18

8 < d  12 19

12 < d  16 27

16 < d  20 20

(a)Write down the modal class.[1]

(b)Work out an estimate for the mean number of days.

[4]

The diagram shows two solid toy bricks, Brick A and Brick B.

Brick A is a triangular prism of length 5 cm. The cross section of Brick A is an isosceles right-angled triangle with equal sides of length 6 cm.

Brick B is half a cylinder of length 5 cm. The semicircular cross section of Brick B has diameter 6 cm.

The volume of Brick A is greater than the volume of Brick B.

How much greater? Give your answer correct to 1 decimal place.

[4]

Here are the first five terms of a number sequence S.

(a)Find an expression, in terms of n, for the nth term of this sequence.[2]

The nth term of a sequence T is given by n² – 3

There are numbers that are terms in both the sequence S and the sequence T.

(b)Find one of these numbers.[2]

On Saturday, Jacob walked 10 800 steps. On Sunday, he walked 7% more steps than on Saturday.

Work out how many steps Jacob walked on Sunday.[3]

Here is a Venn diagram with E = {whole numbers from 1 to 12}

(a)List the numbers that are in set A[1]

(b)List the numbers that are in set A ∩ B[1]

(c)List the numbers that are in set (A ∪ B)ʹ[1]

One of the numbers in the Venn diagram is chosen at random.

(d)Find the probability that this number is in set A ∪ B[2]

The length of a line is 12.3 cm, correct to 1 decimal place.

(a)Write down the upper bound of the length of the line.

[1]

(b)Write down the lower bound of the length of the line.

[1]

Omar invests 6000 dirham for 4 years in a savings account. He will get 1.5% per year compound interest.

Work out the total amount of interest Omar will have received by the end of 4 years. Give your answer correct to the nearest dirham.

[3]

The diagram shows a trapezium.

Work out the value of y. Give your answer correct to 1 decimal place.

[4]

Pentagon ABCDE is drawn inside the regular octagon ABFGHIJK. The pentagon has exactly one line of symmetry.

Work out the value of x.

[4]

Carlos, Flavia and Tazia shared £861 between themselves.

The amount of money Flavia got is 65% of the amount of money Carlos got. The amount of money Tazia got is 22% more than the amount of money Carlos got.

Work out how much money Carlos got.

[3]

(a)Factorise fully 12d² e + 16d² e²[2]

(b)Simplify fully

[2]