1. Third Level Block 2 Formal Homework 1
1. Calculate, showing all working:
(a) 1945 + 367 (b) 0.56 x 300
(c) 5.65 ÷ 500 (d) 3.42 x 1.5
2. Round each number to 3 significant figures:
(a) 126 903 (b) 0.06218
3. RyanPlane’s flight prices rose by 35% this year.
I flew to Paris last year for £70.
How much will it cost this year?
4.
3. Third Level Block 2 Formal Homework 2
1. (a) Screws cost 0.6p each. Calculate the cost of 2000
screws.
(b) The perimeter of a square is 4.32 cm.
Calculate the length of one side.
2. The stem and leaf diagram shows
The number of minutes on average spent
on homework per night by a group of
S1 pupils.
Calculate the median from the above data.
3. A sweets machine produces 2100 sweets a minute.
7
2
of them are red. How many red sweets are produced in 1
minute?
4. Copy each diagram and fill in the missing angles.
4. 5. This shape consists of a rectangle and a semi – circle.
Calculate the perimeter of this shape.
5. Third Level Block 2 Formal Homework 3
1. Calculate the following:
(a) 4
7
1
+ 2
8
3
(b) 15 ÷ 4
6
1
2. Simplify the following ratios as far as possible:
(a) 14 : 24 (b) 35 : 75 (c) 17 : 102
3. Which is bigger : 12% or
8
1
.
4. On a train, the ratio of men to women is 3 : 4.
If there are 27 men on the train, how many women are there?
5. The mean age of four children is 13 years old.
Three of the children are aged 9, 12 and 16.
What is the age of the fourth child?
6. A section of lawn edging consisting of a rectangle with five
equal semi-circles on top is shown below.
Calculate the area of this section.
Give your answer correct to the nearest square centimetre.
6. Third Level Block 2 Formal Homework 4
1. Calculate the following:
(a) 4
7
1
+ 2
8
3
(b) 15 ÷ 4
6
1
2. Solve the following :
(a) 3x – 1 = 8 (b) 2x – 3 = 5(x + 4)
3. When a plane took off the outside temperature was 14o
C. By
the time it had climbed to 30000feet, the outside
temperature was –45o
C.
By many degrees had the temperature fallen?
4. A zoo has monkeys and zebras in the ratio 2:5
If there are 35 zebras, how many monkeys are there?
5. At the World Athletic Championships the mean time for the
first semi-final of the 100 metres was 9.98 seconds.
For the second semi-final the times, in seconds were
10.21 10.04 9.92 9.98 10.04 9.94 9.9 9.73.
Was the mean time for the second semi-final quicker than the
mean time for the first semi-final ?
Give a reason for your answer.
6. Calculate the volume of the following shapes:
(a) (b)
7. Third Level Block 2 Formal Homework 5
1. Write 33 out of 60 as a percentage.
2. Solve algebraically
19 + 3x = 3 – 5x
3. A large cuboid which measures 100cm by 50cm by 20cm is
filled completely with water.
How many small cuboids, measuring 8 cm by 10 cm by 15 cm, can
be filled completely with water from the larger cuboid?
4. Matthew’s salary last year was £32000.
This year he received a pay rise of 4.5%
Calculate his new salary.
5. The shape shown below is the logo to be used to advertise
Manor Mushrooms. Calculate the length of the red border.
8. Third Level Block 2 Formal Homework 6
1. Calculate:
(a) 196 – 23.76 (b) 389 x 42 (c) 45 ÷ 500
5. Max bought a guitar for £240.
He sold it later to a friend for 25% less than what he bought it
for.
For how much did Max sell his guitar?
3. I think of a whole number, treble it and subtract 3. The answer
must be less than or equal to 12.
Form an inequation and solve it to find the possible starting
whole numbers.
4. Evan is an electrician and earns £35, 490 annually.
Victor is an accountant and earns £2960.40 per month.
Caleb is a teacher and earns £741.70 per week.
Who earns the most and least?
5. An ornament is packaged in a cardboard box which is a cube of
side 12cm.
(a) Find the volume of the box.
(b) Calculate the area of card which would be needed to make
the box.
[Ignore any overlaps]
9. Another ornament is to be packed in a box which is a cuboid
with half the volume of the cube.
This box is to have a square base of side 9cm.
(c) Calculate the height, h cm, of this new box giving your
answer correct to 1 decimal place.
10. Third Level Block 2 Formal Homework 7
1. Re-write the following and insert brackets to make each of the
statements correct:
(a) 12 – 3 x 2 = 18 (b) 16 ÷ 8 – 4 = 4 (c) 5 + 3 x 9 – 8 = 8
2. If a = 3 and b = -4 find the value of:
(i) 7a + 6 (ii) 3b – 4a (iii) 2ab2
3. William flies to Belfast from Liverpool, a journey of 360
kilometres, at an average speed of 288 kilometres per hour.
The plane took off from Liverpool’s Airport
at 12.30, when did it touch down in Belfast?
4. The side view of a glass conservatory is shown.
It has weatherproof coating all around the outside.
Calculate its perimeter, where this coating was used.
5. Duncan earns £16 per hour as a courier manager.
(a) How much will he earn in a week if he works for 40 hours?
Last week Duncan also worked overtime. He is paid time and a
half for overtime work.
(b) How much did Duncan earn in overtime pay if he work 4
extra hours?
(c) What was his total pay for last week?
11. Third Level Block 2 Formal Homework 8
1. Work out the following without a calculator:
(a) 25
(b) 52
+ 83
– 72
(c) (-2)4
(d) (-6)3
(e)
2. Multiply out the brackets and then simplify:
(a) 5(x + 2) – 10 (b) 2(3t – 1) – 5(t – 1) (c) 3g –(4 – g)
3. I changed £3500 to euros before going to America.
The rate was £1 = $1.60
How many dollars did I receive?
4. An estate was shared between three brothers, Tom, John and
Dave, in the ratio 2 : 3 : 5.
If Tom received £2400, how much did each of the other two
brothers receive?
5. A plane flies at a maximum speed of 460 km/h.
(a) How far will it travel in 7 hours at maximum speed ?
(b) The pilot wants to fly to Rio, a distance of 5900 km.
Can he complete the journey within 13 hours?
Explain your answer.
6. Sam works for a kitchen fitting company.
She has a monthly pay of £1440 and receives 5% commission for
sales over £45,000.
In March her sales were £68,000.
Calculate her total pay for March.
