Module 2: Quiz
1. Express each of the following ratios as simply as possible:
a) 20:5 b) 12:16 c) 18:27
2. Complete the equivalent fractions:
a) 4:7 = ?:21 b) ?:80=3:8
3: Increase £30 in the ratio of 5:2
4. Express the following in the form 1:n
a) 8:12 b) 12:18 c) 5:4
5. A sum of money is shared in the ratio of 4:5. If the value of the smaller part is £280 find
a) the value of the larger part
b) the value of the total sum of money
7a) the hotel bill for 4 people staying 7 days comes to £630. At the same daily rate, how much would 3 people who stayed 10 days have to pay?
b) 8 pumps working for 10 mins raise 440l of water. How long will it take 6 pumps to raise 396l?
8. Convert the following percentages to decimals:
a) 26% b) 3% c) 1.5%
9. Freddie gets 57/80 in a test. Jordan gets 74%. Which has the better result?
10. Express the following marks as percentages;
a) 14 out of 20 b) 36 out of 50 c) 295 of 500
11. A salary is £18,900 after an increase of 5%. What is the salary before the increase?
12. Peter is comparing the returns of compound interest with those gained from simple interest. The rate of interest is 5%. He has £1500 to invest. If he invests for four years, how much more will he receive from compound interest than he would from simple interest?
13. Andrew’s cycling blog is becoming very popular. This month there were 1500 followers and the number of followers has increased consistently by 7% each month. How many followers would Andrew expect to have in 6 months time?
14. A house was bought for £175,000 one month and sold three months later for £195,000. What was the percentage profit correct to three significant figures?
15. Tim works a 35 hour week and his wage for the week is £392. If he works an extra evening shift he gets time and a half.
a) what is Tim’s hourly rate for his 35 hour week?
b) if he does a 5 hour evening shift on top of his normal 35 hours, what is his pay packet that week?
Module 1: Quiz
2. Write these expressions using
mathematical symbols
a. x is less than minus one b. y
is greater than or equal to seventeen
3. Illustrate the following on a
number line
a.
3<x<5 b. x>2
4. From the sets of numbers 8
17 25 35 45 64
81 write down
a. all
the square numbers b. all the cube numbers c. all
the odd numbers d. all the evens
5.
Work out the following
a. 3 squared b.7 squared c. 63
d. square
root of 100
6. List
the prime numbers between 50 and 70
7. Find the HCF of
a. 9 and 12 b. 16
and 35 c. 4,7 and 21
9. Use the BODMAS to work out the value of these
expressions (show workings)
a.
3+2x8 b. 4x5-3 c. 9x2+64 / 8
9. Use the Table of Differences Method to find
the next two terms in the following
sequence
a. 0 1
6 15 28 b. 2 2 5
11 20 32
10. Convert
the following to improper fractions
a. 3
1/5 b. 5 2/3
11. Express the following fractions in their
lowest terms
a. 18/27 b. 20/25
12. Perform the following additions, writing your
answer as a fraction in its lowest terms:
a.
1/6 + 2/3 b. 2/7 + 1/5
13. Perform the following subtractions, writing
your answer as a fraction in its lowest form
a. 7/12
– 1/6 b. 7/8 – 5/12
14. Perform
the following multiplications, writing your answer as a fraction in its lowest
form
a. 1/3
x 2/5 b. 3/5 x 2/9
15. Perform
the following divisions, writing your answer as a fraction in its lowest form
a. 2/3
of 90 b. ¾ of 24
16. Find
the sum of 39.5, 12.84, 7.9 and 6.43
17. Find
the product of 17.93 and 28.6
18.
Reciprocal of:
a. 7
to 4 d.p.s b. 13
to 4 s.f.s c. 9 to 2 d.p.s d. 11
to 2 s.f.s
19. What
is 3/7 expressed as a decimal to 3 d.p.s
20. What
is 2/13 of 3? Express your answer as a fraction.