Aiming for 7 Higher Tier

Aiming for 7

Spring 2022 Practice Paper

Higher Tier

1MA1/2H

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. ? You must show all your working. ? Diagrams are NOT accurately drawn, unless otherwise indicated. ? Calculators may be used. ? If your calculator does not have a button, take the value of to be 3.142

unless the question instructs otherwise.

Information

? The total mark for this paper is 80. There are 22 questions. ? Questions have been arranged in an ascending order of mean difficulty, as found by

all students in the November examinations. ? 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.

Answer ALL TWENTY TWO questions. Write your answers in the spaces provided. You must write down all the stages in your working.

1 (a) Complete the table of values for y = 5 ? x3

x

?2

?1

0

1

2

y

6

(2)

(b) On the grid below, draw the graph of y = 5 ? x3 for values of x from ?2 to 2

(2) (Total for Question 1 is 4 marks) ___________________________________________________________________________

Spring 2022 ? Aiming for 7: Paper 2H (Set 4) 2 ? Pearson Education Ltd.

2 (a) Write 84 as a product of its prime factors.

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

(b) Find the lowest common multiple (LCM) of 60 and 84

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

(Total for Question 2 is 4 marks) ___________________________________________________________________________

Spring 2022 ? Aiming for 7: Paper 2H (Set 4) 3 ? Pearson Education Ltd.

3 (a) Find the Highest Common Factor (HCF) of 60 and 84

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

(b) Find the Lowest Common Multiple (LCM) of 24 and 40

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

(Total for Question 3 is 4 marks) ___________________________________________________________________________

Spring 2022 ? Aiming for 7: Paper 2H (Set 4) 4 ? Pearson Education Ltd.

4 E = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A = {even numbers} B = {factors of 10} (a) Complete the Venn diagram for this information. E

(3) A number is chosen at random from the universal set, E (b) Find the probability that this number is in the set A B

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

(Total for Question 4 is 5 marks) ___________________________________________________________________________

Spring 2022 ? Aiming for 7: Paper 2H (Set 4) 5 ? Pearson Education Ltd.

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

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

Google Online Preview   Download