Foundation Level Revision

8/8/2019 Foundation Level Revision

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Foundation Level Revision

Percentage

Calculate 25 % of £38

= £9.50

1. Calculate 8% of 450.

2. Jim is paid £160 per week. He gets a 3% increase. Find his new wage.

3. A computer normally costs £499. How much does it cost in a sale when there is a15% discount?

4. Alice puts £347 into a bank account for a year. The bank pays interest at 5.8% per

annum. How much interest will Alice get? Give your answer to the nearest penny.

Average

The crowds at Rovers last three games were 12000, 7500 and 15600. The average

attendance was:

= 11700

1. A garage has 4 petrol pumps. The following amounts of petrol were sold from each pump

one day:- 835 gallons, 945 gallons, 450 gallons and 790 gallons. Find the average amount of

petrol sold per pump.

2. During a car journey Jill noted the number of miles travelled each hour. The numbers of

miles were 68, 66, 50, 67, 65, 0, 65 and 51. Find the average distance travelled per hour.

Length, Weight and Volume

10mm = 1cm 1000g = 1kg

100cm = 1m

1000m = 1km 1000ml = 1 litre

1. Change to cm (a) 3m (b) 3.2m (c) 0.2m (d)80mm (e) 85mm



2. Change to m (a) 4km (b) 4.7km (c) 0.7km (d) 600cm (e) 630cm (f) 30cm

3. How many grams are in (a)

kg (b)

kg (c)

kg ?

4. Find the total weight in kg. of 8 packets of butter each weighing 225g.

5. How many ml. are in (a) 7 litres (b) 7.25 litres (c)0.25 litres ?

6. How many glasses each holding 125ml can be filled from a 1 litre bottle of wine?

Time

(1)

(2) How long is it from (a) 1530 to 1755 ?

(b) 5.18pm to 8.06pm ?

(a) 1530 1730 = 2 hours (b) 5.18 6.00 = 42 mins

1730 1755 = 25 mins 6.00 8.06 = 2hrs 6 mins

TOTAL = 2 hours 25 mins TOTAL = 2 hours 48 mins

1. Write these times (i) using a.m./ p.m. notation

(ii) in 24 hour notation

(a) twenty past three in the afternoon

(b) five past three in the afternoon

(c) a quarter to eleven at night

(d) twenty five minutes to ten in the morning

2. Here is part of a bus timetable:

Hutchend 0750 0937 1408 1845

Shimpling 0931 1145 1543 2045

Crowthorpe 1053 1320 1702 2220

How long does each bus take to go from Hatchend to Crowthorpe?



3. The athletes in a 4 x 400m relay team run their part of the race in the following times:- 46.1

seconds, 44.7 seconds, 45.2 seconds and 43.8 seconds. Find the total time for the team. Give

your answer in minutes and seconds.

Angles

1. 2.

Right angle = 90° Straight angle = 180°

a° = 60° b° = 60°

3. 4.

Complete turn = 360° Angles of a triangle add up to 180°

c° = 120° d° = 80°

1. Find the sizes of the angles a, b, c, d, e and f.

a°

30° b° 70°

140°

100°

c°

40°

d°

60°

a°

50°140° b°

150°80°

c°

70°

90° d°

e°65° f°

f°

f°

f°



Directions and Bearings

Bearings are measured clockwise from North.

1. Write down the bearing of these directions (a) South (b) East (c) North- East (d) South- West

2. Write down the direction of these bearings (a) 270° (b) 135°

Co-ordinates

(7, 3)

1. (a) Plot the points A (1,2), B(6, 2) and C (6,5) on a co-ordinate diagram.

(b) Plot D so that ABCD is a rectangle. Write down the co-ordinates of D.

2. (a) Plot the points P (2,0), Q (5,2) and R (3,5) on a co-ordinate diagram.

(b) Plot S so that PQRS is a square. Write down the co-ordinates of S.

128°

N

S

EW

2 4 6 8

2

4

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Perimeter

1. Perimeter = distance around edge of a shape

Perimeter = 24 + 21 + 10 + 16

= 71m

2. Area of rectangle = length x breadth

Area = 4 x 6

= 24 ft2

3. Area of triangle =

x base x height

Area =

x 5 x 9

= 22.5 m2

4. Volume of cuboid = length x breadth x height

Volume = 6 x 5 x 4

= 120 cm3

1. (a) Find the perimeter of this field.

(b) How many rolls of fencing each 25 yards

long would have to be bought to fence this field?

24m

16m

10m

21m

4 feet

6 feet

9m

5m

4cm

6cm5cm

50 yards

3 0 y

a r d s

20 yards

10 yards

30 yards 2 0 y

a r

d s



2. Find the area of each of these shapes.

(a) (b) (c)

3. Find the volume of each of these shapes.

(a) (b)

4. This is the net of the cuboid in question 3(a) above. Find the lengths x, y and z.

5. Draw a net of the cube in question 3(b) above. Use a scale of “1 centimetre represents 2 feet”.

Circle

The diameter of a circle is twice as long as the radius.

8m

3m6 inches

5 inches

9cm

4cm

7m

3m

2m 4 feet

CUBE

xm

ym

zm

3m

2m

7m

diameter

radius



1. To find the perimeter of a circle you multiply its diameter by 3.14.

Find the perimeters of these circle.

(a) (b)

2. The area of a circle can be found by using the rule: “area = 3.14 x radius x radius”.

Find the areas of these circles.

Mixed Questions

1. Copy and complete this drawing so that the shape has the dotted line as an axis of symmetry.

2. (a) Draw the next shape in this pattern

(b) Copy and complete this table for the above pattern

No. Tables (T) 1 2 3 4 10

No. Chairs (C)

(c) Write down a rule for finding the number of chairs if you know the number of tables.

8m 5m



3 (a) Copy and complete the table below for this pattern.

No. Squares (S) 1 2 3 4 10

No. Lines (L)

(b) Write down a rule for finding the number of squares if you know the number of lines.

4. This is a scale drawing of a house. The scale is “1cm represents 4 metres”.

Find (a) the width

(b) the height of the house

5. 4 metres of curtain material cost £10. How much will 12 metres cost?

6. A car travels 180 miles on 6 gallons of petrol. How far will it travel on 9 gallons?

7. 10kg of potatoes cost £3. How much will 25kg cost?

Answers

Percentage

1. 36 2. £164.80 3. £424.15 4. £20.13

Average

1. 755 gallons 2. 54 miles

Length, Weight and Volume

1. (a) 300cm (b) 320cm (c) 20cm (d) 8cm (e) 8.5cm

2. (a) 4000m (b) 4700m (c) 700m (d) 6m (e) 6.3m (f) 0.3m

3. (a) 500g (b) 200g (c) 750g

4. 1.8kg

3cm

2.5cm



5. (a) 7000ml (b) 7250ml (c) 250ml

6. 8 glasses

Time

1. (a) 3.20pm 1520 (b) 8.05am 0805 (c) 10.45pm 2245 (d) 9.35am 0935

2. 1st

bus: 3h 3m 2nd

bus: 3h 43m 3rd

bus: 2h 54m 4th

bus: 3h 35m

3. 2m 59.8 secs

Perimeter

1. (a) 160 yards (b) 7 rolls

2. (a) 12 m2

(b) 30 m2

(c)18 cm3

3. (a) 42 m3

(b) 64 ft3

Nets

1. x = 10, y = 3 , z = 13

2. Show your answer to your teacher.

Angles

a = 40° b = 40° c = 130° d = 20° e = 25° f = 90°

Direction and Bearings

1.(a) 180° (b) 090° (c) 045° (d) 225°

2. (a) West (b) South- East

Co- ordinates

1. D is (1,5)

2. S is (0,3)

Circle

1. (a) 25.12m (b) 31.4m

2.(a) 50.24 m2

(b) 78.5 m2

Mixed Questions

1. Show your answer to your teacher.

2. (b) 4, 6, 8, 10, 22



(c) C = 2T + 2

3. (a) 4, 7, 10, 13, 31 (b) L = 3S + 1

4. (a)12m (b) 10m

5. £30

6. 270 miles

7. £7.50

Documents

Foundation Level Revision