Shawlands Academy
Intermediate 1
Homework
Unit 3
Intermediate1
Homework 1
Unit 3
Non – Calculator:
1. Calculate:- (a) 10.2 + 0.5
2.
(b) 35 x 4 - 20
(c)
2
/3 of £108
A washing machine can be bought by paying a deposit of £74 followed by
12 monthly instalments of £50.
Calculate the total price for the washing machine.
3. Calculate the volume of this cuboid.
1.3 metres
1.2 metres
5 metres
4.
For a = 3, b = 5 and c = 6, find,
(a) 3a – b
b) 15 + a2
Calculator:
1. Calculate c in each triangle.
(a)
(b)
c
5cm
c
9cm
14cm
11cm
2. The number of floor tiles needed to tile a floor is proportional to the area of
the floor.
A floor with an area of 5 square metres needs 125 floor tiles.
How many floor tiles are needed for a floor with an area of 8 square metres?
Intermediate1
Homework 2
Unit 3
Non – Calculator:
1. Find:- (a) 7.364 - 0.05
(b) -2 + 5
2. Ricky works night shift. One night he started at 2125 and finished at 0630 the next
morning.
How long did Ricky’s shift last?
3. Simplify:-
(a) y + y + y
(b) 3t × 4
4. Write these without brackets:(a) 5(2x + 2)
(b) 3(4x – 3)
5. Remove the brackets then simplify:(a) 5(x + 2) + 3
(b) 2(k – 3) + 4(2k + 5)
Calculator:-
1.
During a holiday in Dubai, Max changed £250 into dirams.
The exchange rate was £1 = 7.52 dirams.
How many dirams did Max receive for £250?
Round off your answer to the nearest diram.
2.
Every morning for one week, Strathclyde Police Force carried out a survey on how many
motorists were breaking the national speed limit down the M8 Motorway.
The number of cars breaking the speed limit was counted every hour between
8am and 5pm.
On Tuesday the results were:
10
8
6
6
3
4
12
5
6
15
Calculate:
(a)
the median;
(b)
the range.
On Friday morning, the median was 6 and the range was 8.
(c)
Make two comments comparing the number of cars breaking the speed limit on
Tuesday and Friday.
Intermediate1
Homework 3
Unit 3
Non – Calculator:
1. Find:- (a) 6.78 – 2.3 (b) 2 × (-3) × 4
(c) 2.25 × 3000
2. An electrician uses this rule to work out his charge in pounds for fitting electrical plug
sockets.
Number of
Sockets
x5
+ 30
How much would he charge to fit 10 electrical plug sockets?
3. List the factors of:
(a) 9
(b) 21
4. Find an expression for the area of the following shape.
x+3
3
5
2x – 1
Calculator:
1. Convert the following into hours and minutes.
(a) 6.3 hours
(b) 1.1 hours
2. Mr Ahmad drives 60 km to work at an average speed of 48 km/h.
Work out how long the journey takes in hours and minutes.
Charge (£)
Intermediate 1
Homework 4
Unit 3
Non Calculator:
1. Find:
(a) 8.67 – 0.2
(b) 2/3 of 96
2. Calculate:
(a) 43 × 10
(b) 25 ÷ 100
3. The hire purchase price of this LCD TV is £449.
£449
How much will each payment be?
£90 deposit
followed by 10
equal payments
4. Find the highest common factors of each pair of numbers:
(a) 10,14
(b) 63,45
5. List the common factors of each pair of expressions:
(a) xy,6x
(b) 4tm,m2
Calculator:
6. Factorise:
(a) 6x – 2
(b) 20t + 5
7. Find the area of the following shapes ( correct to 1 decimal place ).
8 cm
24 cm
8. Find the circumference and area of the following circle ( correct to 1 decimal place ).
14 cm
Intermediate 1
Homework 5
Unit 3
Non Calculator:
1.
(a) Round these numbers to nearest 100 :
(b) Find:
2.
(ii) 2.05 + 10.6
(b) 4(x + 1) = 16
Solve these inequalities.
(a) y + 7 > 10
4.
(ii) 671
Solve these equations. (Remember to check your solutions)
(a) x – 3 = 10
3.
(i) (7+9) ÷ 4
(i) 142
(b) 10 + f < 20
These pieces of wood are the same length.
Measurements are in metres.
(a) Form an equation.
(b) Solve it to find m.
(c) Calculate the length of the pieces.
4m – 5
2m + 24
Calculator:
5.
Aisha has been exercising to lead a healthier lifestyle.
Since she started exercising her weight has dropped from 70 kilograms to 65 kilograms.
Express her weight loss as a percentage of her original weight.
6.
Multiply the Brackets and simplify
2(5m – 5) + 4m
Intermediate 1
Homework 6
Unit 3
Non Calculator:
1.
Evaluate
(a) 12x + 4y
(b) m2 - n
when x = 3 and y = 5
when m = -6 and n = 30
2.
Sophie invests £1500 in a savings account.
The rate of interest is 4% per annum.
Calculate the interest she should receive after 3 months.
3.
A DIY store sells wood at £4 per square metre.
(a) Copy and complete the table.
Wood in
m2 (x)
Cost in
£ (y)
(b)
4.
i)
ii)
iii)
0
1
2
0
4
8
3
Plot the points on a grid.
Draw a line through the points.
Write down the equation of the line.
Copy and complete the table. Then draw a graph for the equation y = 2x + 2
x -3 -2 -1 0
1
2
y
5.
4
(a) Copy and complete the table below for y = 1.5x – 2
x
y
-2
0
-2
2
(b) Draw these two lines on a grid:
(i) y = 1.5x – 2
(ii) y = 2
4
3
Intermediate 1
Homework 7
Unit 3
Non Calculator:
1. (a) For d = 2, e = 3 and f = 5 calculate:(i) 4d
(ii) 11 + 3ef
(b) Write these percentages as a decimal.
(i) 42%
(ii) 63%
Calculator:
1. Calculate the size of the angle marked x0 in each triangle.
Give each angle correct to 1 decimal place.
(a)
(b)
5 cm
4.2 m
X
X0
9.1m
0
8 cm
X0
9.1 m
2. Calculate the size of the angle marked x0 in each triangle.
Give each angle correct to 1 decimal place.
(a)
X0
(b)
12 mm
14 mm
75 mm
55mm
X0
3. Calculate the size of the angle marked x0 in each triangle.
Give each angle correct to 1 decimal place.
(a)
27 cm
X
(b)
X0
0
3.8 cm
41 cm
5.2 cm
Intermediate 1
Homework 8
Unit 3
Non-Calculator:
1. Calculate:
(a) 18 – 20 + 13
(b) 159 × 4
2. Find:
(a) 75% of £240
(b)
4
/9
of 81
Calculator:
3. Calculate the length of the side marked x in each triangle.
Give each length correct to 1 decimal place.
(b)
(b)
x cm
xm
X0
9.1m
0
35
10 cm
280
7.2 m
4. Calculate the length of the side marked x in each triangle.
Give each length correct to 1 decimal place.
(b)
500
(b)
x mm
15 mm
63 cm
x cm
570
5. Calculate the length of each side marked x in each triangle.
Give each length correct to 1 decimal place.
(b)
x cm
33
(b)
670
0
x cm
54 cm
8.2 cm
Intermediate 1
Homework 9
Unit 3
Calculator:
1. Calculate the angle marked x0 in each of these triangles.
Give each angle correct to 1 decimal place.
(a)
(b)
X0
6.2 cm
3.9 cm
12 m
8m
X0
14.5cm
(c)
6.5 cm
X0
2. Calculate the length of each side marked x in each triangle.
Give each length correct to 1 decimal place.
7.8 cm
xm
4.3 m
360
470
x cm
10 m
xm
280
Intermediate 1
Homework 10
Unit 3
Non Calculator:
1. Write the following in standard form.
a) 800000000
b) 36000000000
c) 0.857
d)
0.0986
2. Express these in normal form.
a) 5 × 103
b) 4.3 × 104
c)
4 × 10-2
d) 6.52× 10-6
3. The speed of light in free space is approximately 300000000 meters per second (m/s).
Write this in standard form.
4. Human hair grows at a rate of 0.0000005 cm per second.
Write this in standard form.
5. The eye of a needle has been measured as 0.085 cm wide.
Write this in standard form.
Calculator:
1. Kamran buys a house for £110,000. After two years the price of his house has increased by 8%.
Calculate the price of his house after two years?
2. Donald works as a swimming instructor and earns a basic wage of £7.25 per hour.
He works 27 hours a week.
Calculate his total earnings for the week?