Paper 1 - Aiming for 7
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 NOT be used.
• If your calculator does not have a π button, take the value of π to be 3.142
unless the question instructs otherwise.
Information
• The total mark for this paper is 80. There are 23 questions.
• Questions have been arranged in an ascending order of mean difficulty, as found by
all students in the June 2019 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.
,1 There are 9 counters in a bag.
7 of the counters are green.
2 of the counters are blue.
Ria takes at random two counters from the bag.
Work out the probability that Ria takes one counter of each colour.
You must show your working.
.......................................................
(Total for Question 1 is 4 marks)
, 2 (a) Write down the exact value of tan 45°
......................................................
DO NOT WRITE IN THIS AREA
(1)
Here is a right-angled triangle.
x
cos 60° = 0.5
(b) Work out the valuexof x.
DO NOT WRITE IN THIS AREA
......................................................
(2)
(Total for Question 2 is 3 marks)
___________________________________________________________________________
3
⎛ 16 ⎞ 4
3 Work out the value of ⎜⎝ 81 ⎟⎠
DO NOT WRITE IN THIS AREA
......................................................
(Total for Question 3 is 2 marks)
7
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 NOT be used.
• If your calculator does not have a π button, take the value of π to be 3.142
unless the question instructs otherwise.
Information
• The total mark for this paper is 80. There are 23 questions.
• Questions have been arranged in an ascending order of mean difficulty, as found by
all students in the June 2019 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.
,1 There are 9 counters in a bag.
7 of the counters are green.
2 of the counters are blue.
Ria takes at random two counters from the bag.
Work out the probability that Ria takes one counter of each colour.
You must show your working.
.......................................................
(Total for Question 1 is 4 marks)
, 2 (a) Write down the exact value of tan 45°
......................................................
DO NOT WRITE IN THIS AREA
(1)
Here is a right-angled triangle.
x
cos 60° = 0.5
(b) Work out the valuexof x.
DO NOT WRITE IN THIS AREA
......................................................
(2)
(Total for Question 2 is 3 marks)
___________________________________________________________________________
3
⎛ 16 ⎞ 4
3 Work out the value of ⎜⎝ 81 ⎟⎠
DO NOT WRITE IN THIS AREA
......................................................
(Total for Question 3 is 2 marks)
7
