S1 End of Year Revision Sheet (3)

8/2/2019 S1 End of Year Revision Sheet (3)

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S1 End of Year Revision Sheet

Non-Calculator Work

1.a) b) c)

d) e) f)

g) h) i)

2.a) b) c)

3.a) of 90 kg b) of 112 km c) 20% of 250

d) 35% of 128 g e) 7% of 56 m f) 22% of 360

4. A skirt costing 64 is reduced by 30% in a sale. Find its new price.

5. Write the following in the form shown in brackets:

a) (as a %) b) (as a %) c) 41% (as a decimal)

d) 64% (as a fraction in its simplest form) e) (as a %) f) (as a %)

6. Round these numbers to the accuracy shown:

a) 5636 (to nearest 100) b) (to 1 d.p.) c) (to nearest tenth)

d) 19 630 (to nearest 1000) e) (to 2 d.p.) f) (to nearest 10)

7.a) b) c) d)

e) f) g) h)

8. Simplify these ratios:a) 24 : 42 b) 35 : 56 : 21 c) 30p : 5 d) 4m : 88cm


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9. Red and white paint are mixed in the ratio 2 : 5. If I use 500 ml of red paint, how muchwhite will I need?

10. A cake is made by combining flour, butter and sugar in the ratio 5 : 1 : 3.If the finished cake weighs 2.7 kg, calculate the amount of each ingredient used (in grams).

Perimeter and Area

1. Find the perimeterand area of the following shapes:

a) b)

2.a) Find the area of this carpet.

b) Carpet costs 9.50 per .Find the cost of carpeting this area.

3. A pane of glass is needed for this window frame.a) What area of glass is needed to fill the frame?

b) If the glass costs 13.50 per , how much will it cost tofit the window?

Co-ordinates and 2D Shape

1. PQRS is a kite, with P(5, 1), Q(0, 4) and R(5, 10).a) Plot the point S to complete the kite, and state its co-ordinates.b) Find the co-ordinates of the image of the kite under reflection in the y-axis.

2. Draw a co-ordinate grid and plot the points A(2, 1), B(-1, 5) and C(-4, 1).(b) Plot the point D to make the kite ABCD and state its co-ordinates.(c) Write down the co-ordinates of E where the diagonals cross.(d) Write down the co-ordinates of A under a reflection in the x-axis.

30 cm

0.7 m

15 cm

9 cm12 cm

2 m

5 m

3 m

3 m

6 m

4 m

3 m

5 m


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3. Name one quadrilateral which has:(a) 2 axes of symmetry(b) Order 2 rotational symmetry(c) 2 pairs of parallel sides(d) Diagonals that bisect each other(e) Order 1 rotational symmetry.

4. How many lines of symmetry does this regular hexagon have?

Volume and Surface Area

1.a) Find the volume of this cuboid in .b) Now convert this volume into litres.

2.a) Find the volume in litres of this tank.b) Find its surface area.c) If the tank is filled 2/3 full of water,

what would the depth be?

Algebra

1. Simplify these expressions:a) 2p + 3 + 4p5 b) 6m + 2n5m3n c) 3a + 5ba + 3b

d) 2x117x4 e) 43y4 + 2y

2. If a = 3, b =4 and c =2, calculate:

a) a + bc b) 2ab c)

3. If p =5, q = 2 and r =3, calculate

a) qp + r b) 3q + p c)

4. Solve these equations and inequations:a) b) c)

d) e) f)

1.2 m50 cm

60 cm

0.3 m

11 cm

18 cm


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Blue

Green

Red

Yellow 150

60120

Probability

1. There are 6 strawberry, 4 toffee and 5 mint sweets in a bag.a) What is the probability of picking out a mint one?b) What is the probability of picking out a raspberry one?c) What is the probability ofnot picking out a strawberry one?

2. The probability of it raining tomorrow is 0.3.What is the probability of it not raining?

Mean, Median, Mode and Range

1. A Mathematics test has been marked and the results are as follows:

12, 15, 10, 18, 19, 19, 14, 20, 13, 8, 7, 19a) Calculate the mean, median and modal marks.b) What is the range of marks?

2. The heights of 8 plants were measured in cm and the results recorded as follows:6.79 4.31 5.60 7.01 4.53 3.99 5.63 4.89

a) What is the range of the plants heights?b) Calculate the mean height to 1 d.p.c) Calculate the median height to 1 d.p.

3. 240 people were asked to vote for their favourite colour.The information was drawn in a pie chart.

Calculate the number of people choosing each colour.

Angles

1. Calculate the size of these angles. Give a reason for every answer.

a) b)c

64 b a

36d

70 a 115

bc


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Sequences

1. Find the next three terms of each of these sequences and an nth term formula.a)

b)

c)

2. The sides of a bridge are constructed by joining sections.The sections are made of steel girders.

a) Complete this table:

Number of sections (s) 1 2 3 4 .. 10Number of girders (G) 3 7 .

b) Write down a formula for the number of girders, G, in terms of the number of sections, s.c) Use your formula to find how many girders are made using 50 sections.d) How many sections are there for 403 girders?

Bearings

1. A ship sets off from port P. It sails 10 km on a bearing of 050 to port Q.From Q it sails on a bearing of 160 for 7 km to port R.

a) Make a scale drawing of the ships flight.b) The ship returns home directly from R to P.

Find the distance and bearing on which it must travel for the return journey.

2. A ship travels on a bearing of 145 from A to B.

a) Draw a sketch of this journey.b) Calculate the bearing of the return journey back from B to A.

n 1 2 3 4 5 6 7S 3 5 7 9

n 1 2 3 4 5 6 7S 2 6 10 14

r 1 2 3 4 5 6 7M 8 13 18 23

Documents

S1 End of Year Revision Sheet (3)