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

(a)Write 23100 as a decimal.[1]

(b)Write 0.7 as a percentage.

[1]

(c)Write as a decimal.

[1]

(d)Shade 75% of this diagram.[1]

21% of the people on a train are asleep.

(e)What percentage of the people on the train are not asleep?

[1]

Mike buys 150 burger buns.

He buys the burger buns in packs of 6 burger buns. Each pack of 6 burger buns costs £1.03

Work out how much Mike pays for the 150 burger buns.

[3]

(a)Simplify 4m + 2m – m[1]

(b)Simplify 5p × 7[1]

(c)Solve 8g = 40

[1]

(d)Solve 19 – k = 4

[1]

The table shows the average monthly temperatures, in °C, for four months in London and in Cairo.

Show this information by drawing a suitable diagram on the grid below.[4]

Steve throws a 6-sided dice. The dice can land on 1 or on 2 or on 3 or on 4 or on 5 or on 6

He also spins a coin. The coin can land on heads (H) or on tails (T).

List all the possible combinations he could get.[2]

Reflect the shaded triangle in the line y = 1[2]

(a)Write 195 as a mixed number.[1]

There are 84 animals in a field.

10 of the animals are horses. 45 of the animals are sheep. The rest of the animals are cows.

(b)What fraction of the animals in the field are cows?[2]

(c)Write these fractions in order of size. Start with the smallest fraction.

[2]

(d)Show that 2324– 38= 712[2]

He recorded the number of each of five different types of animal he saw.

The pie chart below gives information about his results.

(a)Write down the ratio of the number of elephants Jerry saw to the number of giraffes he saw. Give your ratio in its simplest form.[2]

Jerry saw 8 lions.

(b)How many giraffes did Jerry see?[2]

Lesley went on holiday to the same game reserve. She also recorded the number of each of five different types of animal she saw. The pie chart below gives information about her results.

(c)Is Lesley correct? You must give a reason for your answer.[1]

[2]

(b)Make t the subject of k = t − (2[2]

(c)Simplify p⁸÷ p³[1]

(d)Simplify n⁰[1]

(e)Simplify (3x² y⁵)³[2]

(a)Work out the circumference of the circle. Give your answer correct to 1 decimal place.

[2]

The diagram shows the pentagon ABCDE.

ABE is an equilateral triangle.

BCDE is a square with area 169 cm²

(b)Work out the perimeter of ABCDE.

[3]

ABD is an isosceles triangle with AB = DB. DCE is a straight line.

Angle ABD = 48° Angle BCE = 68° Reflex angle ADC = 243°

Work out the size of the angle marked y. Give a reason for each stage in your working.

300 cars per hour are made in the factory.

Cars are made in the factory for 9 12 hours each day.

8% of the cars made in the factory are faulty. The rest of the cars made in the factory are not faulty.

Work out how many of the cars made each day are not faulty.

You must show all of your construction lines.

their garden one morning.

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

(b)Work out an estimate for the mean number of birds.[4]

Each counter in the bag is either red or blue so that

Li is going to put some more red counters in the bag so that

Work out the number of red counters that Li is going to put in the bag.

A = {odd numbers} A ∩ B = {1, 3} A ∪ B = {1, 2, 3, 4, 5, 6, 7, 9, 11, 12}

Draw a Venn diagram to show this information.

He arranges the tiles to fit exactly round the edge of a shaded rectangle, as shown in the diagram below.

Work out the area of the shaded rectangle.

[2]

C = 3 ´ 5²

(b)Find the lowest common multiple (LCM) of A, B and C.[2]

She gets 2.3% per year compound interest.

How much money will Jenny have in her savings account at the end of 3 years? Give your answer correct to the nearest dollar.

The wood has density 0.65 kg/m³

(a)Work out the volume of the block of wood. Give your answer correct to 3 significant figures.

[3]

(b)Change a speed of 630 kilometres per hour to a speed in metres per second.

[3]

Find an equation for L.