4MA1 Mathematics A: May/June 2023 Paper 2FFoundation Tier Paper 2

(a)Write in figures the number seven thousand and fifty four.

[1]

(b)Write the number 78 263 correct to the nearest 100

[1]

(c)Write down the value of the 7 in the number 673 000

[1]

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

[1]

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

[1]

Here is a list of numbers.

From the numbers in the list, write down

(a)the even number

[1]

(b)the square number

[1]

(c)the multiple of 7

[1]

(d)the factor of 30

[1]

Peter owns boarding kennels for dogs.

The pictogram shows information about the number of dogs that were at the kennels each day from Monday to Thursday last week.

Monday

Tuesday

Wednesday

Thursday

Friday

(a)How many dogs were at the kennels on Monday?

[1]

18 dogs were at the kennels on Friday.

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

Peter gave each dog 2 biscuits each day.

(c)Work out the total number of biscuits that Peter gave the dogs during the five days from Monday to Friday last week.

[2]

Here is a sequence of patterns made from sticks.

(a)In the space below, draw Pattern number 4[1]

(b)Complete the table.

[1]

(c)Work out the number of sticks in Pattern number 10

[1]

Connor says that in Pattern number 25 there are 102 sticks.

(d)Explain why Connor is wrong.

[1]

The diagram shows three points, A, B and C, marked on a grid.

(a)Write down the coordinates of point A

( , )[1]

(b)On the grid, mark with a cross (×) the point D so that ABCD is a rectangle.[1]

(c)Find the coordinates of the midpoint of AC

( , )[2]

(d)On the grid, draw the line with equation y = 4[1]

(a)Write down the mathematical name of this polygon.

[1]

(b)Measure the length of the line AB Give your answer in centimetres.

_cm[1]

Here are six triangles drawn on a grid of squares.

Two of these triangles are congruent.

(c)Write down the letters of these two triangles.

_and [1]

The diagram shows a fair 6-sided spinner.

Mario spins the arrow on the spinner once.

Write down the word from the box that best describes the likelihood that the arrow will land on

(i)green

[1]

(ii)yellow

[1]

(iii)blue

[1]

A hall has 26 rows of seats. There are 14 seats in each row.

Annie sells tickets for 34 of the seats in the hall for a concert.

She sells each ticket for 15 euros.

Work out the total amount Annie gets from selling tickets.

_euros[3]

Here is a sketch of triangle ABC

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

[2]

Adriana makes some cupcakes.

She sells each cupcake for £2.20

Mike buys 6 of these cupcakes. He pays with a £20 note.

(a)Work out how much change Mike should receive.

£ [2]

Greta sells balloons.

She sells each balloon for £0.85

Stefan has £50 to spend on balloons.

(b)Work out the greatest number of balloons he can buy.

[2]

Trisha asked 90 people to name their favourite type of cheese to put on a pizza. She is going to draw a pie chart for her results.

55 of the 90 people said that mozzarella was their favourite.

(a)Work out the size of the angle on the pie chart for the sector representing mozzarella.

[2]

Haashir asked a different group of people to name their favourite ice cream flavour. He used his results to draw this pie chart.

39 of the people Haashir asked said that vanilla was their favourite.

(b)Work out how many of the people Haashir asked said that chocolate was their favourite.

[2]

A circle has radius 8.5 cm

Work out the circumference of the circle. Give your answer correct to 3 significant figures.

_cm[2]

(a)Expand x(3 – x)

[1]

(b)Factorise fully 12a – 18b

[2]

There are 8 slices of cheese in each small pack of cheese. There are 20 slices of cheese in each large pack of cheese.

Afreen buys h small packs of cheese and j large packs of cheese. She buys a total of T slices of cheese.

(c)Write down a formula for T in terms of h and j

[3]

(a)Change 720 dollars to euros.

_euros[1]

(b)Change 2580 yuan to euros.

_euros[2]

Finn is asked to find the value of 5 + 3²+ 12

Here is his working and his answer.

Finn’s answer is wrong.

(a)Explain what Finn has done wrong in his working.

[1]

(b)Write one pair of brackets in this calculation so that the answer is correct.

[1]

(c)Work out the value of x²+ 5y when x = –3 and y = 2

[2]

The scale drawing shows the positions of two airports P and Q

(a)Find, by measuring, the bearing of P from Q

[1]

A small plane flies directly from P to Q The plane takes 2 hours to fly from P to Q

(b)Work out the average speed of the plane. Give your answer in km / h

_km / h[3]

Show that 4 23  115  3 89[3]

A biased spinner can land on green or on yellow or on brown or on pink.

The table gives the probabilities that, when the spinner is spun, it will land on green or on yellow or on brown.

Timucin spins the spinner 200 times.

Work out an estimate for the number of times the spinner lands on pink.

[3]

ABCD is a trapezium.

BC is parallel to AD

Find the size of the largest angle inside the trapezium.

[4]

(a)Complete the table of values for y = x²– x – 4

[2]

(b)On the grid below, draw the graph of y = x²– x – 4 for values of x from –3 to 3

[2]

Nancy has some coins with a total value of 85 pence. She has only 2 pence coins and 5 pence coins. The ratio

Nancy has more 5 pence coins than 2 pence coins.

How many more?

[4]

(a)Write 76 000 000 in standard form.

[1]

(b)Write 5.4 × 10 ^–4 as an ordinary number.

[1]

A and C are points on a circle, centre O DA is the tangent to the circle at A and DC is the tangent to the circle at C

Angle ADC = 48°

Work out the size of reflex angle AOC

[3]

Charlotte buys a painting for $680 The value of the painting increases by 4% each year.

Work out the value of the painting at the end of 3 years. Give your answer correct to the nearest $

$ [3]

Change a speed of 27 kilometres per hour to a speed in metres per second.

_m / s[3]

Team A and Team B take part in a quiz league.

After 11 rounds, Team A has a mean score per round of 17 After 9 rounds, Team B has a mean score per round of 18

Both teams take part in a further round. After this round, both teams have a mean score per round of 18.5

In the further round, Team A scored more points than Team B.

How many more?

[4]

Here is a 9-sided regular polygon ABCDEFGHJ, with centre O

ODK and FEK are straight lines.

Work out the value of x

x = [3]

The diagram shows right-angled triangle ABD

AB = 14 cm AD = 8 cm

C is the point on BD such that angle BAC = 38°

Work out the length of CD Give your answer correct to 3 significant figures.

_cm[4]