4MA1 Mathematics A: Oct/Nov 2021 Paper 2FFoundation Tier Paper 2

The pictogram shows information about the number of ice creams Sandeep sold on each of four days last week.

Monday

Tuesday

(a)How many ice creams did Sandeep sell on Thursday?

[1]

Sandeep sold 30 ice creams on Friday.

(b)Complete the pictogram to show the number of ice creams Sandeep sold on Friday.[1]

(c)On which day was the least number of ice creams sold?

[1]

(d)Work out the total number of ice creams Sandeep sold last week.

[2]

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

[1]

(b)Write down the value of 6 in the number 54.623

[1]

(c)Write the number 3.4896 correct to 2 decimal places.

[1]

(d)Write 0.6 as a percentage.

%[1]

(a)Simplify 4x + 5x – 2x

[1]

(b)Simplify 4p × 7

[1]

(a)Change 5.48 metres into centimetres.

_cm[1]

(b)Change 4600 millilitres into litres.

_litres[1]

Here is an isosceles triangle ABC.

AC = 5 cm.

The perimeter of the triangle is 32 cm.

(c)Work out the length of AB.

_cm[2]

Adisha plays basketball for her school.

Here is the number of points that she scored in each of nine games.

(a)Find the mode of the numbers of points that Adisha scored.

[1]

(b)Work out the range of the numbers of points that Adisha scored.

[2]

Here are the first four terms of a number sequence.

(a)Write down the next term of the sequence.

[1]

(b)Explain how you found your answer to part (a).

[1]

(c)Find an expression, in terms of n, for the nth term of the sequence.

[1]

Carmel is working out the cost of using her mobile phone in March.

Here is the information that she uses.

Calls $0.10 per minute Texts $0.05 each message

Work out the total cost that Carmel has to pay for using her mobile phone in March.

$ [4]

Here is a rhombus.

Work out the value of x. Give a reason for your answer.

x = [3]

The diagram shows a cuboid.

Work out the volume of the cuboid.

_cm³[2]

(a)Write 25 as a fraction of 145 Give your fraction in its simplest form.

[2]

(b)Work out 9 as a percentage of 25

%[2]

The cost of 16 sandwiches of the same type is 28 euros.

(c)Work out the cost of 27 of these sandwiches.

_euros[2]

ABC is a triangle.

Use ruler and compasses to construct triangle ABC with AB as its base. You must show all construction lines. The line AB has been drawn for you.

[2]

T = 6p – 4d

(a)Work out the value of T when p = 8 and d = 3

T = [2]

T = 6p – 4d

(b)Work out the value of p when T = – 41 and d = 5

p = [3]

(c)Solve 4(x – 3) = 7x + 15

Show clear algebraic working.

x = [3]

Trains leave Agra station to go to New Delhi every 40 minutes. Trains leave Agra station to go to Mumbai every 48 minutes.

At 6 am a train leaves Agra station to go to New Delhi and at the same time a train leaves Agra station to go to Mumbai.

Work out the next time a train leaves Agra station to go to New Delhi and at the same time a train leaves Agra station to go to Mumbai.

[3]

On the grid below, draw the graph of y = 1 – 3x for values of x from – 2 to 3

[3]

E = {2, 4, 6, 8, 10, 12, 14, 16, 18} X = {4, 8, 12, 16} Y = {6, 12, 18}

(a)Complete the Venn diagram for this information.

[3]

A number is chosen at random from E

(b)Find the probability that the number is in the set X ∪ Y

[2]

Ravina leaves her home at 1 35 pm in her car.

Ravina drives 60 km from her home to get to an appointment. She drives at an average speed of 80 km/h.

At what time does Ravina get to her appointment?

[3]

(a)Write down the value of m, given that 3⁴ ´ 3⁵ = 3^m

m = [1]

(b)Write down the value of n, given that (5³)⁷= 5ⁿ

n = [1]

(c)Find the value of p, given that  77_p  7

p = [2]

Here are two rectangles, rectangle A and rectangle B.

The area of rectangle B is twice the area of rectangle A.

Work out the value of x. Show your working clearly.

x = [4]

The table gives information about the amounts of money, in euros, that 70 of Anjali’s friends spent last Saturday.

One of Anjali’s 70 friends is going to be chosen at random.

(a)Find the probability that this friend spent more than 24 euros last Saturday.

[1]

(b)Work out an estimate for the mean amount of money spent by Anjali’s friends last Saturday. Give your answer correct to 2 decimal places.

_euros[4]

ABC and DEF are similar triangles.

(a)Work out the length of AB.

_cm[2]

Given that BC = 54 cm,

(b)work out the length of EF.

_cm[2]

The diagram shows a regular octagon ABCDHIJK and a pentagon DEFGH.

Angle GHD = angle FGH.

Work out the size of the angle marked x. Show your working clearly.

[5]

Victor buys 12 bottles of apple juice for a total cost of $21 Victor sells all 12 bottles at $2.45 each bottle.

Work out Victor’s percentage profit.

%[3]

Ali and Badia each have 25 000 dollars to invest.

4.5% compound interest per year Receive 1150 dollars interest each year

Ali invests in the Cyclone Bank for 3 years. Badia invests in the Tornado Bank for 3 years.

By the end of the 3 years, Ali will have received more interest than Badia.

How much more? Show your working clearly. Give your answer correct to the nearest dollar.

_dollars[4]

(a)Simplify (3x² y)⁰

[1]

(b)(i)Factorise x²– 5x – 36

[2]

(ii)Hence solve x²– 5x – 36 = 0

[1]

A rainwater tank contains 2.4 ´ 10⁷ raindrops. The rainwater tank also contains 1.75 ´ 10⁶ bacteria.

Work out the number of bacteria per raindrop in the tank. Give your answer in standard form correct to 2 significant figures.

[3]

ABC is an isosceles triangle with BA = BC.

N is the point on AC such that AN = 9.3 cm and BN is perpendicular to AC.

Work out the perimeter of triangle ABC. Give your answer correct to 3 significant figures.

_cm[4]