Mathematics

[Pages:18]Write your name here

Surname

Other Names

Mathematics

2022 Paper 1 (Non-Calculator) Foundation Tier

Time: 1 hour 30 minutes

You must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser.

Total Marks

Instructions

? Use black ink or ball-point pen. ? Fill in the boxes at the top of this page with your name, centre number and candidate number. ? Answer all questions. ? Answer the questions in the spaces provided ? there may be more space than you need. ? Calculators may not be used. ? Diagrams are NOT accurately drawn, unless otherwise indicated. ? You must show all your working out.

Information

? The total mark for this paper is 80 ? The marks for each question are shown in brackets ? use this as a guide as to how much time to spend on each question.

Advice

? Read each question carefully before you start to answer it. ? Keep an eye on the time. ? Try to answer every question. ? Check your answers if you have time at the end.

mathsgenie.co.uk

Foundation Tier Formulae Sheet

Perimeter, area and volume

Where a and b are the lengths of the parallel sides and h is their perpendicular separation:

Area of a trapezium =

1 2

(a

+

b)

h

Volume of a prism = area of cross section ? length

Where r is the radius and d is the diameter:

Circumference of a circle = 2r = d

Area of a circle = r2 Pythagoras' Theorem and Trigonometry

In any right-angled triangle where a, b and c are the length of the sides and c is the hypotenuse:

c a

a2 + b2 = c2

In any right-angled triangle ABC where a, b and c are the length of the sides and c is the hypotenuse:

A b

sin

A=

a c

cos

A=

b c

tan

A=

a b

Compound Interest

Where P is the principal amount, r is the interest rate over a given period and n is number of times that the interest is compounded:

( ) Total accrued = P

1

+

r 100

n

Probability

Where P (A) is the probability of outcome A and P (B) is the probability of outcome B:

P (A or B) = P (A) + P (B) ? P (A and B)

END OF EXAM AID

1

Write down the value of the 3 in the number 3091

2

Change 1.6 kilometres to metres.

(Total for Question 1 is 1 mark)

m (Total for Question 2 is 1 mark)

3

Here are four numbers.

-7

-2

2

7

Write one of these numbers in each box to make a correct calculation.

+

= -5

(Total for Question 3 is 1 mark)

4

Write the following numbers in order of size.

Start with the smallest number.

0.3

1 3

21%

1 4

0.205

(Total for Question 4 is 2 marks)

5

Simplify 11c ? 8d + 5c ? d

(Total for Question 5 is 2 marks)

6

The first term in a sequence is 3.

The term to term rule is add 5.

Is 97 a term in the sequence? Give a reason for your answer.

..................................................................................................................................................................

.................................................................................................................................................................. (Total for Question 6 is 2 marks)

7

Liam goes to a Cafe.

He buys

3 coffees for ?1.60 each

2 teas for ?1.10 each

5 cakes for ?2.15 each

Work out the total amount that Liam spends.

?.................................. (Total for Question 7 is 2 marks)

y

8

5

4

3

2

A

1

-5 -4 -3 -2 -1 O -1 -2 -3

-4 -5 Reflect triangle A in the y-axis.

1 2 3 4 5x (Total for Question 8 is 2 marks)

9

There are only blue counters, red counters and yellow counters in a bag.

There are twice as many blue counters as yellow counters. There are three times as many red counters as yellow counters.

Write down the ratio of blue counters to red counters to yellow counters.

....................................................... (Total for Question 9 is 2 marks)

10 (a) Here is a bar chart showing the scores of five students in their Maths and English tests.

30 26 22 18 16 12 8 4 0 Andy | Bailey | Charlie | Dawson | Eden | Write down two things wrong with this graph

1 ......................................................................................................................................................... 2 .........................................................................................................................................................

(2)

(b) The pictogram gives information about the number of chocolate bars sold by a shop last week.

Monday Tuesday Wednesday

Key:

Represents 3 chocolate bars

Thursday

Friday

(b) Write down one thing that is wrong with the pictogram. ................................................................................................................ ................................................................................................................

(1) (Total for Question 10 is 3 marks)

11 Mr Sykes wants to buy a calculator for every student in year 11. There are 104 students in year 11. Each calculator costs ?6.05

(a) Work out an estimate for the amount of money Mr Sykes will spend on calculators.

(b) Is your answer to part (a) an underestimate or an overestimate? Give a reason for your answer.

?................................. (2)

........................................................................................................................................................................

........................................................................................................................................................................ (1)

(Total for Question 11 is 3 marks)

12 Last year Victoria paid ?300 for her car insurance This year she has to pay ?348 for her car insurance. Work out the percentage increase in her car insurance.

.............................................. % (Total for Question 12 is 3 marks)

13 L = 9m + 2n Work out the value of L when m = 3 and n = ?6

(Total for Question 13 is 2 marks)

14 60 students study a language at a school. Each student either studies French or German.

36 of the students are boys.

2 3

of

the

boys

study

French

40 students study French

Use this information to complete the frequency tree.

French

boys German

French girls

German

(Total for Question 14 is 4 marks)

 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download