MODULE: ACCESSING BASIC MATHS



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

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 numbers

ANS: ___________ (1 mark)

b) one multiple of 6.

ANS: ___________ (1 mark)

c) one factor of 54

ANS: ___________ (1 mark)

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

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) [pic] 4

ANS: ___________ (1 mark)

Question 5

(a) Calculate 0.7 ( 0.6

ANS: ___________ (1 mark)

(b) Calculate 18.4 [pic] 0.04

ANS: ___________ (2 marks)

Question 6

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

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

ANS: __________(C (1 mark)

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

(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) [pic] + [pic]

ANS: ____________ (3 marks)

(b) [pic] ÷ [pic]

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.

ANS: __________ p (3 marks)

Question 11

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)

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?

[pic]

ANS: _________ ml (1 mark)

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

[pic]

How much do the letters weigh?

ANS: _______ g (1 mark)

Question 13

Describe 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)

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

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

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.

[pic]

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)

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) [pic]

ANS: ____________ (1 mark)

(c) 253 + 419

43

ANS: ____________ (1 mark)

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.

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)

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 not

drawn 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)

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)

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)

Question 26

|EASTWOOD – BEAUVALE – MOORGREEN – NEWTHORPE 101 |

|MONDAYS TO SATURDAYS |

EASTWOOD |0857 |0957 |1057 |1157 |1257 |1357 |1457 |1557 |1657 | |Lower Beauvale |0900 |1000 |1100 |1200 |1300 |1400 |1500 |1600 |1700 | |Beauvale Schools |0903 |1003 |1103 |1203 |1303 |1403 |1503 |1603 |1703 | |Moorgreen |0906 |1006 |1106 |1206 |1306 |1406 |1506 |1606 |1706 | |Newthorpe |0910 |1010 |1110 |1210 |1310 |1410 |1510 |1610 |1710 | |Giltbrook |0912 |1012 |1112 |1212 |1312 |1412 |1512 |1612 |1712 | |Hill Top |0916 |1016 |1116 |1216 |1316 |1416 |1516 |1616 |1716 | |EASTWOOD |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 [pic] 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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