Formal Homeworks

1. Third Level Block 1 Formal Homework 1
1. The marks out of 20 in a mathematics test are recorded below.
20 17 18 14 16 16 15 19 20 17 16
17 19 18 15 16 17 15 17 20 14 18
(a) Organise the data into a frequency table.
(b) How many pupils sat the test ?
(c) How many pupils gained a grade A ?
(scored more than 15 out of 20)
(d) What is the modal score ?
(e) What is the median score ?
(f) What is the mean score (Use a calculator)
2. This pie chart shows the results of a
survey asking teachers about their
favourite mode of transport.
(a) What fraction voted for :
(i) train (ii) car
(b) If 400 teachers took part in the survey,
how many teachers voted for boat ?

2. 3. The number of mobile phones sold in two different shops is
recorded.
Draw a comparative line graph to show both sets of data.
5. Only 55% of young eels are expected to survive the
first few weeks of their young lives.
In the river Kilmarnock last year, 210,000 eels were
born.
How many were expected to survive the early weeks
of their lives?
6. John asked twenty of his class mates how many books they had
downloaded.
His results are shown below.
Construct an ordered stem and leaf diagram to display the
results.
Mon Tues Wed Thurs Fri Sat
Mobphone 7 11 15 9 13 23
Vidaphone 9 7 13 13 17 21

3. Third Level Block 1 Formal Homework 2
1. Calculate:
(a) 7835 + 1845 (b) 87.04 x 7 (c) 783 x 45
(d) 8.56 x 10 (e) 939 – 45.6 (f) 6.78 x 4.3
2. An equal amount of 34 100 marbles have to be put into 200 jars.
How many marbles will be in each jar?
3. Boy band Bloo are buying a new tour bus which costs £143 850.
Round this number to the nearest:-
(i) £100 (ii) £1000 (iii) £10 000
4. Round each number to the number of decimal places in the
brackets:
(a) 3.15 (1) (b) 6.349 (2) (c) 7.845387 (1)
5. Round each number to the number of significant figures in the
brackets:
(a) 23 658 (1) (b) 65.068 (3) (c) 398 (2)
6. Calculate:
(a) 3 + 4 ÷ 2 (b) (7 + 2) – (3 x 1) (c) 72
– 4 x 2

4. Third Level Block 1 Formal Homework 3
1. A car is on sale for £ 12,356.
Round this amount to the nearest :
(a) £10 (b) £100 (c) £1000
2. (a) 12.1 x 100
(b) 8765.1 ÷ 1000
(c) 5 ÷ 100
(d) 14.2 x 20
3. (a) 10 + (- 4) (b) -3 + 17 (c) 18 + (-18)
(d) (- 9) – 6 (e) (-24) + (- 3) (f) 0 - 21
Show all working :
4. A luxury coach can seat 52 passengers.
680 senior citizens will be going on their annual trip
to Blackpool. How many coaches are required ?
5. 321 x 46
6. 525 ÷ 35
7. 5769 ÷ 18

5. Third Level Block 1 Formal Homework 4
1. Calculate:
(a) 17 + (- 9) (b) -23 - 7 (c) 7 + (-28)
(d) (- 1) – 16 (e) (- 41) + (- 13) (f) 0 – 14
2. Calculate: (a) 34 x 467 (b) 12.5 x 5.9
3. Name the following angles using letters:
4. Simplify the following :
(a) 4a – 2b + a + 3b (b) 24 – 5p – 14 + 4p (c) 6x² + 7y² - 2x² + y²
5. Make a sketch of the following diagrams and fill in all the
missing angles.
(a) (b) (c)

6. Third Level Block 1 Formal Homework 5
1. Carry out the following calculations:
(a) 14.6 – 3.21 + 5.3 (b) 2.44 x 90 (c) 76.8 ÷ 6
2. (a) 15 - (- 4) (b) 3 - 17 (c) -18 + (-18)
(d) (- 9) + (– 6) (e) - 24 - 3 (f) - 5 – ( - 6)
(g) (-23) x (-3) (h) 64 ÷ (-4)
3. Simplify the following expressions:
(a) 2c – t + 3c + 4t (b) 12 – 3b – 10 + 4b
(c) 9z – 1 – 11z + 8 (d) 5 - 2y – 11 – 8y
(e) 5x² + 8y² - 3x² + y²
4. Find the mean, median, mode and range of the following data:
3, 5, 12, 11, 1, 5, 15, 8
5. Multiply out the following brackets:
(a) 4(x + 5) (b) -7(3a – 8) (c) p(1 – 2p)
(e) 5y(y2
+ 6) (f) -3(4a + 7b – c)

7. Third Level Block 1 Formal Homework 6
1. (a) 17.1 x 600 (b) 6742 ÷ 2000
(c) 25 ÷ 500 (d) 6.2 x 700
2. Remove the brackets and simplify:
(a) 5(x – 2) (b) -a(3a + 7)
(c) 3(y + 2) – 5y (d) 12 – 5(2b – 3)
(e) 2(2p - 4) + 3(3p + 6) (f) 4(x – 5) – 2(6 – 3x)
3. John asked twenty of his class mates how many books they had
downloaded.
His results are shown below.
Construct an ordered stem and leaf diagram to display the
results.
4. Evaluate the following when:
a = 3 b = 2 and c = -5
(a) ab (b) c2
(c) 10 – abc
(d) 3b2
(e) a² - 2c + 4b²

8. Third Level Block 1 Formal Homework 7
1. Carry out the following calculations.
(a) 22.5 – 18.9 + 14.7
(b) 12.58 x 70
(c) 65.3 ÷ 5
2. Evaluate the following when p = 2 and q = -3.
(a) 5pq – 3q (b) 2q² + 4p²
3. Simplify the following:
(a) 5x – 7y + 3x + y (b) 50 – 3p – 24 + 6p (c) 9x² + 8y² - x² + 3y²
4. Solve the following equations:
(a) 2x + 1 = 15 (b)
4
1
x – 3 = 11
(c) 6x – 5 = 3x + 4 (d) 10x = 3x + 28
(e) 8 – 2x = 10 + 4x
5. Sketch the diagram and fill in all the missing angles.

9. Third Level Block 1 Formal Homework 8
1. Carry out the following calculations:
(a) 5.65 x 30 (b) 0.2 x 0.9 (c) 5.8 x 7.4
2. Simplify the following :
(a)
40
32
(b)
39
26
(c)
51
17
3. Change the following into mixed numbers:
(a)
3
25
(b)
5
71
4. Change the following into improper fractions:
(a) 1
3
2
(b) 3
8
5
5. Solve the following equations:
(a) 8x – 3 = 4x + 5 (b) 7 – 3x = 17 + 6x
6. Sophie goes on holiday with £x.
Robbie has 4 times as much as Sophie.
Emma has £8 more than Sophie.
Altogether they have £50.
(a) Write down an equation for x and solve it.
(b) How much do Robbie and Emma have?

10. Third Level Block 1 Formal Homework 9
1. Find the answer to the following questions:
(a) -10 + (- 24) (b) -30 + 17 (c) 8 - (-18)
(d) (- 9) – (-6) (e) (-29) + (- 7) (f) 0 – 54
2. Calculate:
(a)
3
2
+
6
5
(b)
7
5
-
7
2
(c)
9
5
x
3
1
(d)
7
6
÷
7
6
(e) 1
3
1
+ 2
4
3
(f) 2 -
5
4
(g) 2
7
1
x 3
5
1
(h) 10 ÷ 1
4
1
(i) 5
4
1
- 2
5
3
3. Solve the following equations for x:
(a) 6x – 14 = x + 1 (c) 6(x + 5) – 2(x + 2) = 30
4. Find the area of the following shapes:
(a) (b) (c)

11. Third Level Block 1 Formal Homework 10
1. Solve 4x – 3 = 7x + 5
2. Find the mean, median, mode and range of the following data:
1, 2, 2, 2, 4, 8, 16
3. A survey of St. Joseph’s students found that
3
1
of them walked
to school,
9
4
came by bus and the rest came by car.
(a) What fraction came by car?
(b) If there are 720 pupils in St Joseph’s, how many came by
car?
4. Caitlin scored 18 out of 20 in her Maths exam.
She scored 48 out of 55 in her English exam.
In which exam did Caitlin achieve the best score?
5. Simplify:
(a) 5a – 3 – 9a + 5 (d) 5 + 4b – 12 + 6b
6. Calculate the area of the shape below.