# term paper

Topics: Volume, Litre, Question Pages: 22 (1285 words) Published: January 1, 2014

Mathematics B
Unit 1: Statistics and Probability (Calculator)
Higher Tier
Monday 13 June 2011 – Afternoon
Time: 1 hour 15 minutes

Paper Reference

5MB1H/01

You must have:

Total Marks

Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.

Instructions

black ink or
• Usein the boxesball-point pen. page with your name,
Fill
at the top of this
• centre number and candidate number.
• Answer all questions. in the spaces provided
the questions
• Answermay be more space than you need.
– there
Calculators may be
• If your calculator doesused.have a button, take the value of not
• 3.142 unless the question instructs otherwise.

to be

Information

total
for
• The marksmarkeachthis paper is 60.shown in brackets
question are
• The this asforguide as to how much time to spend on each question. – use
a
an
• Questions labelled with willasterisk (*) are ones where the quality of your written communication
be assessed
– you should take particular care on these questions with your spelling, punctuation and grammar, as well as the clarity of expression.

carefully
• Keep an eye on the question.
• Try to answer every if you have time at the end.

P38979A

6/6/6/6/6

*P38979A0116*

Turn over

GCSE Mathematics 2MB01
Formulae – Higher Tier
You must not write on this formulae page.
Anything you write on this formulae page will gain NO credit.

Volume of a prism = area of cross section × length

1
Area of trapezium = 2 (a + b)h
a

cross
section

h

length

b

Volume of cone = 1 r 2h
3
Curved surface area of cone = rl

Volume of sphere = 4 r 3
3
Surface area of sphere = 4 r 2
r

l

h
r

In any triangle ABC
b
A

Sine Rule

a
B

c
a
sin A

The solutions of ax 2 + bx + c = 0
where a 0, are given by

C

b
sin B

x=

−b ± (b 2 − 4ac)
2a

c
sin C

Cosine Rule a2 = b2 + c 2 – 2bc cos A
Area of triangle = 1 ab sin C
2

2

*P38979A0216*

You must write down all the stages in your working.
1 There are a total of 96 children in Years 4, 5 and 6
37 of these children cannot swim.
11 children in Year 4 cannot swim.
21 children in Year 5 can swim.
There are 30 children in Year 6
18 of these 30 children can swim.
(i) Work out the number of children in Year 4 who can swim.

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

(ii) Work out the total number of children in Year 5

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

(Total for Question 1 is 4 marks)

*P38979A0316*

3

Turn over

2 Mr Kent’s students did a maths test and a science test. The scatter graph shows the marks of 12 of these students.

20
19
18
17
16
science
mark 15
14
13
12
11
10
11

10

12

13

14 15 16
maths mark

17

18

19

20

The table shows the marks of two more students.
Name
Masood
Nimer

maths
12
17

science
14
20

(a) Show this information on the scatter graph.
(1)
(b) What type of correlation does this scatter graph show?
........................................................................... . . . . . . . . . . . . . . . . . .

(1)
David did the maths test.
He was absent for the science test.
David’s mark in the maths test was 15
(c) Estimate a science mark for David.

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

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

*P38979A0416*

3 Build-a-mix makes concrete.
1 cubic metre of concrete has a weight of 2400 kg.
15% of the concrete is water.
The rest of the ingredients of concrete are cement, sand and stone....