4MA1 Mathematics A: May/June 2022 Paper 1FFoundation Tier Paper 1

Nav found the following table that shows the age, in years, of each of seven cities.

(a)Write down the name of the city with the greatest age.

[1]

(b)Write the number 2534 in words.

[1]

(c)Write the number 2351 correct to the nearest ten.

[1]

(d)Work out the difference between the age of Cadiz and the age of Nanjing.

_years[1]

A millennium is 1000 years.

(e)What is the age of Jenin in whole millenniums?

_millenniums[1]

(a)Simplify 12a + 3a – 7a

[1]

(b)Simplify 8 × 3b

[1]

(c)Solve c3= 9

c = [1]

Here is a probability scale.

In a fruit bowl, there are only

3 bananas 7 pears

Shimon is going to take at random one of the fruits from the bowl.

(a)Write down the letter of the arrow that points to the probability that Shimon takes

(i)a pear,

[1]

(ii)a grape.

[1]

Emma has some carrots, some potatoes and some onions in a bag. She says that the probability of taking at random a carrot from the bag is 1.4

Emma is not correct.

(b)Explain why.

[1]

Here is a polygon.

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

[1]

Here is a scale.

(b)On the scale, mark with an arrow (↑) the number 360[1]

Here is a clock face.

(c)Write down the time shown on the clock face.

[1]

(d)Complete the following sentence by writing a suitable metric unit on the dotted line.

The length of a pen is 16 [1]

Here is a list of numbers.

(a)From the numbers in the list, write down

(i)an even number

[1]

(ii)a multiple of 9

[1]

(iii)a square number

[1]

(iv)a prime number

[1]

(b)Use brackets to make the statement correct. You may use more than one pair of brackets in the statement.

[1]

ABC is a straight line.

(a)(i)Work out the value of x

x = [1]

(ii)Give a reason for your answer to (i)

[1]

D Diagram NOT

CDE is an equilateral triangle. ABCF is a quadrilateral.

BCE and DCF are straight lines.

(b)Work out the value of y You must show your working.

y = [3]

Sandeep buys some flowers. He has 5000 rupees to spend.

He buys 6 carnations at 220 rupees each. He also buys some roses at 295 rupees each.

Sandeep should receive 140 rupees in change from his 5000 rupees.

Work out how many roses Sandeep buys.

[4]

(a)Simplify 12g − 8e − 5g + 6e

[2]

A = 3b − 5c

(b)Work out the value of A when b = 12 and c = 4

A = [2]

(c)Solve 4p + 9 = 24

p = [2]

ABC is a triangle. AB = 8 cm, AC = 6 cm and BC = 9 cm.

Use a ruler and compasses to construct the triangle ABC. The side AB has been drawn for you. You must show all your construction lines.

[2]

Anjali wants to go on a boat at the seaside.

At the seaside there are 20 boats.

Of these boats 2 are white 5 are blue 7 are green 6 are yellow

Anjali selects at random one of these boats.

Write down the probability that she selects

(i)a green boat,

[1]

(ii)a white boat or a yellow boat.

[2]

Johan wants to make some small cakes.

He finds a recipe that says he needs 360 grams of flour to make 15 small cakes.

Johan has 0.85 kg of flour.

Johan works out how much flour he would need to make 38 small cakes, using the information given in the recipe.

Does Johan have enough flour, according to the recipe, to make 38 small cakes? Show your working clearly.[4]

The table gives information about the number of gold stars won by each of 25 students in class 7T last week.

(a)Work out the mean number of gold stars won.

[3]

A student in class 8R is to be chosen at random.

The probability that this student won at least one gold star last week is 0.39

(b)Work out the probability that this student did not win at least one gold star last week.

[1]

On the grid, draw the graph of y = −2x + 3 for values of x from −1 to 5

[3]

In 2001, the total number of cars produced in the world was 39.8 million.

In 2006, the total number of cars produced in the world was 10.1 million greater than the total number produced in 2001

(a)Express 10.1 million as a percentage of 39.8 million. Give your answer correct to one decimal place.

_%[2]

In 2011, the total number of cars produced in the world was 59.9 million.

In 2016, the total number of cars produced in the world was 21% greater than the total number produced in 2011

In 2016, the total number of cars produced in the world was N million.

(b)Work out the value of N. Give your answer correct to the nearest whole number.

N = [3]

The diagram shows a shape ABCDEFG made from a square ABDF and three identical isosceles triangles BCD, DEF and FGA.

The perimeter of the square ABDF is 48 cm. The perimeter of each isosceles triangle is 30 cm.

Work out the perimeter of the shape ABCDEFG.

_cm[4]

Here are the first five terms of an arithmetic sequence.

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

[2]

The nth term of another arithmetic sequence is 3n + 5

(b)Find an expression, in terms of m, for the (2m)th term of this sequence.

[1]

Here is a biased 4-sided spinner.

The table gives the probabilities that, when the spinner is spun once, it will land on 1 or it will land on 3

The probability that the spinner will land on 2 is equal to the probability that the spinner will land on 4

Ravina is going to spin the spinner a number of times.

Ravina works out that an estimate for the number of times the spinner will land on 3 is 45

Work out an estimate for the number of times the spinner will land on 4

[4]

(a)Find the highest common factor (HCF) of 56 and 84 Show your working clearly.

[2]

(b)Find the lowest common multiple (LCM) of 60 and 72 Show your working clearly.

[2]

The diagram shows parts of three regular polygons, A, B and C, meeting at a point.

Polygon B has n sides.

Work out the value of n.

n = [4]

(a)Expand and simplify (n − 6)(n + 4)

[2]

(b)Solve 2x − 3 = 3x − 54

Show clear algebraic working.

x = [3]

Asha bought an apartment.

The table gives information about the value of apartments, in euros, and the annual service charge band.

In 2021, the value of Asha’s apartment was 634 400 euros.

The value of Asha’s apartment had increased by 4% from its value in 2020

(a)Has the annual service charge band changed for Asha’s apartment? Show your working clearly.[3]

Pam bought a boat.

In each year after Pam bought the boat, the value of the boat depreciated by 15%

(b)Work out the total percentage by which the value of the boat had depreciated by the end of the second year after Pam bought the boat.

_%[3]

A cylinder is placed on the ground.

The height of the cylinder is 18 cm.

The force exerted by the cylinder on the ground is 72 newtons. The pressure on the ground due to the cylinder is 1.4 newtons / cm²

Work out the volume of the cylinder. Give your answer correct to 3 significant figures.

_cm³[4]

(a)Write 0.000 089 in standard form.

[1]

(b)Write 8.34 × 10⁴ as an ordinary number.

[1]

(a)Simplify 8 × (4t)⁰

[1]

x⁶÷ x⁻⁵ = x ^p

(b)Find the value of p

p = [1]

(c)Simplify fully (2k² m⁴)³

[2]

Two circles, C₁ and C₂ , are drawn on a centimetre grid, with a scale of 1 cm for 1 unit on each axis.

The centre of circle C₁ is at the point with coordinates (–1, 3) and the radius of C₁ is 13 cm.

The centre of circle C₂ is at the point with coordinates (7, 18) and the radius of C₂ is 6 cm.

(a)Work out the distance between the centre of C₁ and the centre of C₂

_cm[3]

(b)Explain why circle C₁ intersects circle C₂

[1]