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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