YEAR 9 MATHS REVISION WORKSHEET – 2
1. Expand and simplify
a.
b. (p + 9)(p – 4)
2. Make
as the subject
3. Solve, by factorising,
4. Solve the simultaneous equations i) algebraically ii) Graphically
4x + y = 25
x − 3y = 16
5. Estimate the value of
6. The first four terms of an arithmetic sequence are
57,
50,
43,
36
Find, in terms of n, an expression for the nth term of this sequence.
Is -3 is a term in this sequence? Show your working properly
7. Find the equation of a line parallel to
and passing through (5,2)
8. Find the equation of a straight line which is perpendicular to the line
which
passes through the point (3, -2).
9. Find the midpoint of line joining (-4,3) and (2,-7)
10. Melissa is 13 years old. Becky is 12 years old. Daniel is 10 years old. Melissa, Becky and
Daniel share £28 in the ratio of their ages. Becky gives a third of her share to her mother.
How much should Becky now have?
11. A student bought a pair of sunglasses in the USA. He paid $35.50 In England, an
identical pair of sunglasses costs £26.99 The exchange rate is £1 = $1.42 In which
country were the sunglasses cheaper, and by how much? Show all your working.
12. A company bought a van that had a value of £12 000 Each year the value of the van
depreciates by 25%. Work out the value of the van at the end of three years.
13. Simplify
14. Solve
15. Make as the subject of the formula
a)
b)
16. A cylinder has a diameter of 12 cm and a height of 18 cm. a) Calculate volume of
cylinder
b) Calculate the total surface area of the cylinder. Give your answer correct to 3 significant
figures
17. a)
b)
Work out volume of prism
Work out total surface are of the prism
18. A cone has base radius 5cm and slant height
13cm. Workout its surface area
19.
20. The diagram shows a design of
zipwire. The zipwire will run
between the top of two vertical
posts AB and CD. Workout the
distance AD
21. From a point on the ground 12 ft from the base of a flagpole, the angle of elevation of the
top of the pole measures 53°. How tall is the flagpole?
22. James left home at 10 00 am. He walked to the swimming pool. On the way to the
swimming pool he stopped to talk
to a friend. Here is the distancetime graph for his complete
journey.
(a) For how many minutes did James stop
and talk to his friend?
(b) What is the distance from James’
home to the swimming pool?
23.
24. Hannah is going to play one badminton match and one tennis match. The probability that
she will win the badminton match is
The probability that she will win the tennis match
is
(a) Complete the probability tree diagram.
(b) Work out the probability that Hannah will win both matches.
25. The average fuel consumption of a car, in kilometres per litre, is given by the formula
where
is the distance travelled, in kilometres, and f is the fuel used, in litres.
correct to 3 significant figures.
correct to 3 significant figures. By
considering bounds, work out the value of c to a suitable degree of accuracy. You must
show all of your working and give a reason for your final answer.
26. Reya records how long it takes to download songs from the internet.
This frequency table shows the download times of 75 songs.
Time (t
seconds)
10 ≤ t < 20
Frequency
20 ≤ t < 30
24
30 ≤ t < 40
26
40 ≤ t < 50
7
50 ≤ t < 60
2
16
75
a What is the modal class for Reya’s data?
b Estimate the mean download time for Reya’s songs.
27. In the diagram, triangles ABD and BCD are right-angled triangles
AB = 5 cm,
AD = 10 cm, CD = 4 cm, Angle ADB = 30°
a) Work out BD
Give your answer correct to 2 decimal places
b) Work out the value of x.
Give your answer correct to 2 decimal places
28.