MODULE: ACCESSING BASIC MATHS

PART 1: NON-CALCULATOR QUESTIONS

NAME OF CANDIDATE:

INSTITUTION:

COURSE:

DATE OF EXAMINATION: January 2007

TIME ALLOWED: 40 minutes for Part 1

INSTRUCTIONS FOR CANDIDATES

Answer ALL the questions.

The use of class notes is NOT permitted.

Show your calculations on the paper.

You may NOT use a calculator.

You will also require a ruler and a protractor.

Name

Tutor

1

NON - CALCULATOR QUESTIONS

Question 1

(a) The product of two numbers is 42. Both numbers single digits. What are the two numbers?

ANS: ______ (1 mark)

(b)

Rui needed to use his calculator to do a particular question. The diagram shows the result of the calculation. Write the answer correct to 2 decimal places.

ANS: ______ (1 mark)

(c)The Yummy Biscuit Company sells its boxes of deluxe biscuits in 1.5 kg tins. A standard box holds eight 1.5 kg tins. How many standard boxes in total will be required for fifty-four 1.5 litre tins?

ANS: ________ (2 marks)

Question 2

2, 6, 9, 17, 18, 23, 36

From the above list, write down:-

(a) two prime numbersANS: ___________ (1 mark)

(b) one multiple of 6.ANS: ___________ (1 mark)

(c) one factor of 54

ANS: ___________ (1 mark)

0.099735121

2

Question 3

The pictogram below shows how many drinks were sold from a drinks machine in a company canteen during one particular week.

= 5 drinks

Monday

Tuesday

Wednesday

Thursday

Friday

Use this pictogram to answer the questions below:

(a) On one particular day 15 drinks were sold. Which day was it?

ANS: ___________ (1 mark)(b) How many drinks were sold during that week?

ANS: ___________ (2 marks)

(c) How many drinks were sold on Thursday?

ANS: ___________ (1 mark)

Question 4

3

(b) What is the sum of 40 and 16?

ANS: ____________ (1 mark)

(c) What is the Lowest Common Multiple (LCM) of 8 and 3?

ANS: ___________ (3 marks)

(d) Work out 18 + (6-4) 4

ANS: ___________ (1 mark)

Question 5

(a) Calculate 0.7 0.6

ANS: ___________ (1 mark)(b) Calculate 18.4 0.04

ANS: ___________ (2 marks)

Question 6

At 10 p.m. the temperature was 2C. By 6 a.m. the next day it had fallen by 8C.

4

(i) What temperature was it at 6 a.m.?

ANS: __________C (1 mark)

By 11 a.m. the temperature had risen to 4C.

(ii) How many degrees had it risen since 6 a.m. the previous day?

ANS: _________C (1 mark)

Question 7

(a) Solve the equations

(i) 3 - y = 8

ANS: ____________ (1 mark)

(ii) 4(x - 1) = 20

ANS: ____________ (3 marks)

(b) Simplify 4 + 5t – 7 – t

ANS: ____________ (2 marks)

(c) Find the value of r + 8 if r = -14 and w = 3 w

ANS: ____________ (2 marks)

Question 8

Calculate the following

(a) +

5

ANS: ____________ (3 marks)

(b) ÷

ANS: ____________ (2 marks)

Question 9

A Community hall floor was marked with a grid as shown below.

A B C

D E F

G H I

A small dog was placed on the centre square (marked E).

(a) In which direction would the dog move to get into the ‘B’ square?

ANS: ____________ (1 mark)

(b) Which letter is south-west of square ‘E’?

ANS: ____________ (1 mark)

Question 10

Estimate the total weight of 27 cars cars weighing 253 kg each.Write down the figures you would use to estimate the total cost.

N

6

ANS: __________ p (3 marks)

Question 11

(a) What are the co-ordinates of the point C?

ANS: _________________ (1 mark)

(b) Name the shape ABCD.

ANS: __________________ (1 mark)

(c) Plot the point (3, 4). Label it E. (1 mark)

A B

C

AA

A Bx

y D C

BA

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Question 12

(a) A chef is making gravy in a measuring jug. The diagram shows the jug containing stock. How much hot water must the chef add to have 1.5 litre of liquid?

ANS: _________ ml (1 mark)

(b) This scale is used for weighing letters. It is in grams.

How much do the letters weigh?ANS: _______ g (1 mark)

Question 13Describe in words (choose from the list below) the following: CERTAIN LIKELY EVEN CHANCE UNLIKELY IMPOSSIBLE

(a) What is the probability that I pick a red card from a deck of cards?

ANS: ____________ (1 mark)

(b) What is the probability that you will develop the chance to fly tonight?

ANS: ____________ (1 mark)

8

D

B

Question 14

(i) Which line is parallel to DC?ANS: ____________ (1 mark)

(ii) Measure the angle ADC.ANS: ____________ (1 mark)

(iii) What type of angle is ADC?

ANS: ____________ (1 mark)

END OF NON-CALCULATOR QUESTIONS

A

C

9

MODULE: ACCESSING BASIC MATHS

PART 2: CALCULATOR QUESTIONS

NAME OF CANDIDATE:

INSTITUTION:

COURSE:

DATE OF EXAMINATION: January 2007

TIME ALLOWED: 50 minutes for Part 2

INSTRUCTIONS FOR CANDIDATES

Answer ALL the questions.

The use of class notes is NOT permitted.

Show your calculations on the paper.

You may use a calculator.

In addition to this paper you will require:

1. a calculator;2. a ruler.

Name

Tutor

10

PART 2: CALCULATOR QUESTIONS

Question 15

The results of a survey among 1260 people to find their favourite flavour of crisp are shown below. The angles are marked on the pie chart.

Favourite Flavour of Crisp

Prawn Cocktail

Ready Salted Chicken

Cheese and Onion

Roast Beef

124o

34o100o

46o

56o

(a) Which flavour of crisp is the least popular among those surveyed?

ANS: _____________________ (1 mark)

(b) Which flavour of crisp is most popular among those surveyed?

ANS: _____________________ (1 mark)

(c) How many people preferred Prawn Cocktail flavoured crisps?

ANS: __________ (2 marks)

38 o 38 o 38 o 38 o 38 o

96 o

50 o

11

Question 16

Ten students gained the following marks in a class test: -

12 62 36 84 100 36 76 68 69 66

(a) Calculate the range of the results.

ANS: __________ (1 mark)

(b) What is the mode of the results?

ANS: __________ (1 mark)

(c) What is the median of the results?

ANS: __________ (1 mark)

(d) What is the mean of the results?

ANS: ___________ (2 marks)

Question 17

Find the value of

(a) 3 7

ANS: ____________ (1 mark)

(b)ANS: ____________ (1 mark)

(c) 253 + 419

43

ANS: ____________ (1 mark)

12

Question 18

The graph below shows the conversion between kilograms (kg) and pounds (lb).

Use the graph to convert

(i) 4 kilograms to pounds ANS: _______ lb (2 marks)

(ii) 10 pounds to kilograms ANS: _______ kg (2 marks)

YOU MUST SHOW HOW YOU HAVE USED THE GRAPH.

13

Question 19

(a) The diagram below shows a wooden packing crate.

Find the volume of the crate.

ANS: ____________ m 3 (2 marks)

(b) The fuel tank for a machine holds 180 gallons of diesel. How much diesel does the tank hold in litres?(1 gallon is approximately 4.5 litres)

ANS: ___________ litres (2 marks)

Question 20

(a) Write the ratio 150ml to 3 litres in the simplest terms

ANS: ___________ (2 marks)

(b) One hundred people had a drink in a cafe between 1.00 pm and 3.00 pm. The ratio of tea drinkers to coffee drinkers is 4:1.How many people had tea?

ANS: _________ (3 marks)

2.4m

0.35m

0.7m

Diagram not to scale

14

Question 21

At a campsite each camper is allocated a rectangular camping pitch of size 6.2m long by 3.7m wide as shown below.

Diagram notdrawn to scale

A line is drawn around each camping pitch.

(a) What is the area of each camping pitch?

ANS: ___________ (3 marks)

(b) What is the perimeter of the camping pitch?

ANS: ___________ (2 marks)

Question 22

A mathematical formula is A = ¾ h (a + b)

Find the value of A when h = 5.9, a = 4.6 and b = 3.8.

ANS: ___________ (2 marks)

3.7 m

6.2 m Camping Pitch

15

Question 23

There are 1.49 Euro (€) to the pound sterling. £1= €1.49872

(i) How many Euro will Jane receive in exchange for £230?

ANS: _________ € (2 marks)

(ii) An Italian doll costs 133 Euro. How much is this in pounds sterling to the nearest penny?

ANS: £_________ (2 marks)

Question 24

Algebra Pyramids are completed by adding the 2 bricks that connect to the brick about it.Complete the algebra pyramid below

10n 2n -3

(3 marks)

16

Question 25

Jimmy left home and drove to a motorway service station where he bought some petrol. He then continued his journey and drove to a factory where he delivered an order. When he had completed the necessary paperwork and had a cup of tea he returned home.

(i) How far is the service station from Jimmy’s home?

ANS: _________ (1 mark)

(ii) For how many minutes did he stop at the service station?

ANS: ________ min (1 mark)

(iii) What was his average speed on the way home?

ANS: _________ kmph (2 marks)

17

Question 26

EASTWOOD – BEAUVALE – MOORGREEN – NEWTHORPE 101MONDAYS TO SATURDAYSEASTWOOD 0857 0957 1057 1157 1257 1357 1457 1557 1657Lower Beauvale 0900 1000 1100 1200 1300 1400 1500 1600 1700Beauvale Schools 0903 1003 1103 1203 1303 1403 1503 1603 1703Moorgreen 0906 1006 1106 1206 1306 1406 1506 1606 1706Newthorpe 0910 1010 1110 1210 1310 1410 1510 1610 1710Giltbrook 0912 1012 1112 1212 1312 1412 1512 1612 1712Hill Top 0916 1016 1116 1216 1316 1416 1516 1616 1716EASTWOOD 0919 1019 1119 1219 1319 1419 1519 1619 1719

(i) What time is there a bus from Moorgreen, around 3 o’clock in the afternoon?

ANS: ___________ (1 mark)

(ii) I have an appointment in Hill Top at 1230. What is the latest time I can leave Newthorpe to get to Hill Top for this time?

ANS: __________ (2 marks)

Question 27

(a) Write as a percentage.

ANS: ___________ (1 mark)

(b) Write 0.31 as a fraction.

ANS: ___________ (1 mark)

(c) I invest £280 and receive 1.8% simple interest each year.What is the total simple interest I receive in two years?

ANS: £ __________ (2 marks)

END OF EXAMINATION PAPER

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