The Advanced Numeracy Test Workbook - Mike Bryon [23]
C 0
D 5
Answer
Q3. Imagine you toss a coin into the air and make a note of whether it lands heads or tails up. After 50 times you have noted the following:
Heads: 21 times
Tails: 29 times
If you continue to toss the coin a further 100 times, about how many times would you expect it to land heads up?
A 42
B 58
C 63
D 87
Answer
Q4. What is the maximum number of spheres with a radius of 10cm that you can fit into a cube of 8,000 cm3?
A 1
B 2
C 3
D 4
Answer
Q5. Is 113 a prime number?
A Yes
B No
Answer
Q6. The first quartile:
A Is the same as the median
B Has three-quarters of the list above it
C Has three-quarters of the list below it
D Has a value the same as half of the interquartile range
Answer
Q7. What is the sum of all the integers from 96 through to 690?
A Under 200,000
B Between 200,000 and 250,000
C Between 250,000 and 300,000
D Over 300,000
Answer
Q8. Complete the sequence:
14, 15, 16, 18, 20, 21, 22, ??
A 23
B 24
C 25
D 26
Answer
Q9. Percentiles:
A Are the same as quartiles
B Are an unequal distribution across a statistical ranking
C Comprise values that always add up to 100
D Are a statistical ranking split into 100 equal parts
Answer
Q10. Identify the median of the data:
5, –1, –3, 4, –5, 1, 0, 1
A 0
B 1
C 1/2
D –1/2
Answer
Q11. When the null hypothesis cannot be disproved, the researcher concludes that:
A A perfect correlation between X and Y exists
B A direct correlation between X and Y exists
C The test must be rerun
D No relationship exists between X and Y
Answer
Q12. Mixing syrup and alcohol in ratio 3:2 makes Cough Hard medicine. This can be purchased from the chemist in bottles holding 750ml. How much of this is syrup?
A 450ml
B 500ml
C 550ml
D 600ml
Answer
Q13. A shape is said to tessellate if it covers a surface without overlapping or gap. Which of the following will not tessellate?
A Hexagons
B Quadrilaterals
C Regular triangles
D Pentagons
Answer
Q14. If what is p in terms of the other letters?
A s2 + q2
B (qs)2
C q2 – s2
D
Answer
Q15. Two or more quantities are in direct proportion if their ratio stays the same as the quantities increase or decrease. If two quantities, l and m, are in direct proportion, then which of the following is true?
A When l = 0, m = 0
B As one quantity halves, the other doubles
C l is twice m
D l is half m
Answer
Q16. If two lines are perpendicular, the product of their gradient is:
A 2
B 1
C 0
D –1
Answer
Q17. In mathematics, subscripts are written:
A In parentheses
B Above the line
C Below the line
D In bold
Answer
Q18. x is an integer. What is the greatest value of x for which 2x < 9?
A 2
B 4
C 6
D 7
Answer
Q19. The formula 8x + 4y would give the total length of the sides of which shape?
A Square-based pyramid
B Cone
C Cuboid
D Cylinder
Answer
Q20. The expression z2y – zy2 can be factorized to what?
A (zy2) – z
B z2y2
C zy(z – y)
D 2zy2
Answer
Study the information provided and answer the questions that follow.
Situation 1
The average tax bill for British households has increased with every budget announced by the Chancellor of the Exchequer. The increase between 1996/97 and 2003/04 for some usual household taxes is presented in the table below.
Type of Tax
1996/97 (£)
2003/04 (estimate £)
Income tax
2,800
5,180
National insurance
1,876
2,900
VAT
1,916
2,556
Fuel duty
696
1,014
Vehicle excise duty
172
190
Tobacco
308
408
Alcohol
232
312
Betting duty
60
48
Q21. How much more fuel duty did the usual British household pay in 2003/04?
A £842
B £318
C £100
D £80
Answer
Q22. What is the percentage decrease in betting duty?
A 34.5%
B 32.5%
C 20.0%
D 10.5%
Answer
Q23. How much more tax did a home owner who didn’t smoke, drink or gamble pay in 2003/04?
A £168
B £2,347
C £4,380
D £4,548
Answer
Q24. If income tax is to increase at the same rate, what would the estimated income tax bill be in 2010/11?
A £9,583
B £8,953
C £8,593
D £8,539
Answer
Situation 2
The above chart shows