Intermediate1 Homework 1
Non – calculator:
1.
Round these numbers to the nearest 100.
(a) 79 (b) 263 (c) 1310
Unit 1
(d) 1901
2.
Round these numbers to the nearest whole number.
(a) 4.9 (b) 12.9 (c) 89.3 (d) 510.6
Calculator:
3.
Calculate the following:
(a) 12 × 10 (b) 29 × 100 (c) 33 × 1000
(d) 2.5 × 100 (e) 34 ÷ 100 (f) 567 ÷ 1000
4.
A supermarket store purchases DVDs for £4.50 each.
They sell them to make a profit of £3.49 on each.
At what price does the supermarket sell the DVDs for?
5.
Mrs Grant pays her council tax in ten monthly instalments.
Calculate each payment if her annual charge is £1465.

Intermediate1 Homework 2
Non – calculator:
1.
Calculate correct to 1 decimal place.
(a) 7.2 + 2.53 (b) 12.34 + 8.44
Unit 1
(c) 16.34 – 5.1
2.
Write these percentages as common fractions.
(a) 30% (b) 45% (c) 14% (d) 89%
Calculator:-
3.
Calculate correct to 1 decimal place.
(a) 4.2 × 5.56 (b) 19 ÷ 3 (c) 6.2 ÷ 0.9
4.
Calculate correct to 2 decimal places.
(b) 13.2 × 4.569 (b) 119 ÷ 31 (c) 21.312 ÷ 17
5.
Write these percentages as decimal fractions.
(a) 51% (b) 13% (c) 2% (d) 13.5%

Intermediate1 Homework 3
Non – calculator:
1.
Round each number to 2 decimal places.
(a) 1.571 (b) 21.285 (c) 403.202
Calculator:
2.
Calculate.
(a) 25% of 80 (b) 50% of 90 (c) 13% 0f £450
Unit 1
3.
Laptop prices on a retail web page do not include value added tax (VAT).
VAT is calculated at 15%.
Calculate the actual cost of each item.
(a) (b)
Xcel 900 £1250 Makk 2500 £475
4.
A Bank charges 8% per year when it lends money.
Calculate the charge for each of these loans, which have been taken over one year.
Give your answer to the nearest penny.
£1500 (b) £3200

Intermediate1 Homework 4 Unit 1
Non – calculator:
1.
Calculate.
(a) 40% of 50g (b) 75% of £160 (d) 30% of 240
2.
Find :-
(a)
2
/
7 of £56 (b) 11 - 6.57 (c) 4.23 × 6
Calculator:
3.
John scored 36 out of 60 in a maths test.
What is his mark expressed as a percentage?
4.
A car is bought for £2400.
It is sold for £1560 after one year.
(a) Calculate the loss.
(b) Find the loss as a percentage of £2400.
5.
A wholesaler buys 20 mobiles phones for £900.
She sells them for £59.99 each.
Calculate:
(a) Her profit on each phone.
(b) The profit as a percentage of the cost price, correct to 1 decimal place.

Intermediate1
Non – calculator:
Homework 5 Unit 1
1.
Find:- (a) 5 + 0.27 (b) 15 × 40 (c) 7.02 ÷ 6
2.
Calculate: (a) 3050 – 1762 (b) 4.5 × 3 (c) 70 × 500
3.
(a) What area would 1 litre of paint cover?
(b) What area would a 5 litre tin cover?
PAINT
2 Litres covers 24 m
4.
In Glasgow Town Centre it cost £3 to park for 5 hours.
2
(a) How long can you park for £1.80?
(b) How much will it cost to park for 8 hours?
Calculator:
5.
Donald puts £108 in a savings account.
The rate of interest is 7% per annum.
How much money is Donald paid after?
(a) 1 month (b) 9 months

Intermediate1 Homework 6 Unit 1
Non-calculator:
1.
Calculate:(a)
3
/
8 of 36 (b)
5
/
7
of 49 (c)
7
/
8 of 24
2.
Round to the nearest whole number.
(a) 6.2 (b) 13.9 (c) 180.4
Calculator:
3) Calculate the area of the following shapes. a)
12cm b)
8cm
6cm
10cm
15m
10m
9m
(c) 2.4m
1.4m
1.1m 1.1m

Intermediate1 Homework 7
Non-calculator:
1.
Work out the following.
(a) 35 ÷ 2 (b) 0.45 × 3 (c) 4.345 + 0.026
Unit 1
2.
Simplify the following.
(a) (b) (c)
3.
Calculate the volume of the following cuboids.
(a) 8cm (b) 2.5m
4cm
3cm 4m
2m
Calculator:
4.
Calculate the shaded area in each shape.
(a)
10m
(b)
12cm
8m
7m
5m
(c)
3.2m 1.6m 3.2m
1.2m
16cm
5cm
3cm
5cm
3cm

Intermediate1 Homework 8
Non-calculator:
1.
Work out the answers to the following.
(a) 40% of £210 (b)
5
/
7
of 105
2.
Shown below is a container in the shape of a cuboid.
10cm
Unit 1
30cm
When full, the container holds 1800 cubic centimetres of water. Work out the height of the container.
Calculator:
3.
In 2008, a school had 1050 pupils by 2009, the number of pupils had fallen by 126.
Calculate the percentage decrease in the number of pupils.
4.
Eight jars of jam can be made from 2 kilograms of raspberries.
How many jars of jam can be made from 5 kilograms of raspberries?
5.
Richard has invested £16000 in a bank account which pays
6.5% interest per annum. He invests the money for 3 months.
Calculate the interest he receives on his money.

Intermediate1 Homework 9 Unit 1
Calculator :
1.
Some friends go out for a meal. The basic cost of the meal is
£39.00. There is also a 12% service charge. Calculate the service charge.
2.
Calculate the amount of VAT at 15% which will be paid when a LCD TV is bought priced £429.99 plus VAT. Give your answer to the nearest 1p.
3.
Calculate the circumference of a circle with diameter:
(give your answer to 1 decimal place)
(a) 5cm (b) 7.2cm
4.
Calculate the circumference of a circle with radius:
(give your answer to 1 decimal place)
(b) 10mm (b) 0.7m
5.
Calculate the area of these circles.
(a) (b)
14cm
12mm

Intermediate1 Homework 10
Calculator :
1.
The top of a tin of paint has diameter of 15cm.
What is the circumference of the tin of paint?
Unit 1
Give your answer to 1 decimal place.
2.
A joiner is making tables for a new coffee shop.
The shape of the top of the table is a semi-circle as shown below. AB = 120cm
Calculate the area of the top of the coffee table.
A 120cm B
3.
The top of Calum’s computer desk is in the shape of a quarter-circle as shown.
Calculate the area of the top of the desk.
0.75m

Intermediate1 Homework 11
Non-calculator:
1.
Evaluate 6d – 4c when d = 5 and c = 7.
2.
Evaluate p
2 – 3k when p = 5 and k = 4.
Unit 1
3.
The firm ‘Shawlands Car Hire’ charges £55 per day plus 5 pence per mile when you hire a car from them.
How much would it cost to hire a car for 4 days if the number of miles travelled is 250?
4.
Evaluate when x = 5, y = 8 and z = 4.
Calculator:
5.
Body mass index is a measure of weight compared to height.
The body mass index B, of a person who weighs w kilograms and whose height is h metres is given by the formula
B =
W
/ h
2
Calculate the body mass index, B, for a person who weighs 80 kilograms and is 1.73 metres tall.
6.
A rule used to calculate the cost in pounds of electricity is:
Cost = 39 + (number of units used × 0.08)
Find the cost of 700 units of electricity used.

Intermediate1 Homework 12 Unit 1
Non-calculator:
1.
Find:-(a) 7.19 – 2.5 (b) 75% of £800 (c) 12 – ( 5.3 + 2 )
2.
Ahmad works night shift. One night he started work at 2345 and finished at 0815 the next morning.
How long did Ahmad’s shift last?
3.
Sophia is a sales person in a furniture retail store.
She earns £300 a week.
She gets a bonus of £10 each time she sells an item of furniture.
(a) How much does she earn in a week if she sells 12 items of
furniture?
(b) In a 4 week period she sells 40 items of furniture.
What are her total earnings for this period?
4.
Peter is a baker and is paid a basic rate of £6.00 per hour.
When he works night shift he is paid time and a half.
How much is he paid for 30 hours night shift?
5.
Grace is a web designer. She earns £8 an hour.
(a) How much does she earn for a 40-hour week?
(b) She gets a pay increase of £0.50 an hour.
What is her new hourly rate?
(c) How much does she now earn a week?

Intermediate1 Homework 13
Non-calculator:
1.
(a) Write 30% as a decimal.
Unit 1
(b) Find 5.6 × 400
2.
For a = 3, b =5 and c = 10, evaluate:
(a) b
2
(b) 3c
2
(c) b
2 c
Calculator:
3.
Andy buys a bottle of aftershave in Spain for 38.50 euros.
The same bottle of aftershave costs £25.99 in Scotland.
The exchange rate is £1 = 1.24 euros.
Does he save money by buying the aftershave in Spain?
Explain your answer.
4.
A room in Hotel Royale in Paris costs 130 euros per night. The exchange rate is 1.13 euros to the pound.
(a) Find the cost of the hotel room per night in pounds.
(b) Mr & Mrs McQueen are going to Paris. Their return
flights cost £59 each.
Find the total cost of their flights and a 3 night stay at
the Hotel Royale in pounds.
5.
A family plan to visit Japan.
They exchange £990 into yen.
How many yens will they get?
Foreign Exchange Rates
£1 Buys
USA 1.59 Dollars
FRANCE 1.13 euros
JAPAN 149.65yen

Intermediate1 Homework 14
Non-calculator:
1.
Carry out the following calculations.
(a) 9.2 -3.71 + 6.47 (b) 7.29 × 8
Unit 1
(c) 687 ÷ 300
Calculator:
2.
Ryan wants to take out life insurance.
The insurance company charges a monthly premium of £2.50 for each £1000 of cover.
Ryan can afford to pay £90 per month.
How much cover can he get?
3.
Laura wants to insure her computer for £2400.
The insurance company charges an annual premium of £1.25 for each £100 insured.
(a) Calculate the annual premium.
(b) Laura can pay her premium monthly.
If she does this she is charged an extra 4%.
Calculate her monthly premium.
4.
A Plasma TV can be bought on hire purchase by paying a deposit of £90 plus 12 instalments at £68.50. How much does the Plasma TV cost?
5.
James is buying a car. The cash price is £11500. It can be bought on hire purchase by paying a deposit of 20% of the cash price and 36 instalments of £300.
Find the total hire purchase price of the car.