Gr. 9 HOME WORK- PRACTICE WORKSHEET Ch. 1- 14
INSRUCTION: THIS IS FOR PRACTICE. ANSWERS ARE ALSO PROVIDED. YOU MAY CLARIFY
YOUR DOUBTS WITH YOUR TEACHER DURING THE REVISION WEEK.
YOU MUST ALSO PRACTICE QUESTIONS FROM TEXT BOOK, HW BOOK and WORK DONE IN
CLASS AS PREPARATION FOR EXAM.
1. The population of a city is 550 000. It is expected that this population will increase by 42%
by the year 2008. Calculate the expected population in 2008.
2. On a journey a bus takes 35 minutes to travel the first 10 kilometres. It then travels a further
20 kilometres in the next 40 minutes.
(a) The bus started the journey at 18 50. At what time did it complete the journey?
(b) Calculate the average speed of the whole journey in
(i) kilometres/ minute
(ii) kilometres /hour
3.The diagram shows a pole of length l centimetres.
(a) Hassan says that l = 88.2 Round this to the nearest whole number
(b) In fact the pole has a length of 86cm, to the nearest cm. Writhe the upper bound and
lower bound of l.
4. The diagram shows a square of side 8cm and four
congruent triangles of height 7cm.
(a) [i]Calculate the area of one triangle
[ii] Calculate the area of the whole shape
5.A straight road between P and Q is shown in the diagram. R is the point South of P and East of
Q. PR=8.3km and QR = 4.8km. Calculate (a)the length of road PQ and
(b) the bearing of Q from P
6. Shampoo is sold in two sizes A and B.
A contains 800ml and costs $1.30. B contains 1.5litres and costs $2.30
Which is better value for money? Show all your steps of working out.
7.
The diagram shows a cylindrical vessel with a radius of 30
cm and height 80 cm.
(a) Calculate the area of the base of the tank
(b) Calculate the volume of the tank in litres
8. Yasmeen is setting up a business. She borrows $5000from a loan company. The loan company
charges 6% per year simple interest. How much interest will Yasmeen pay after 3 years?
9. Abdul bought a spade in this sale. Its original price was $16.
(a) How much did Abdul save?
(b)The next day all items were sold at half the original price.
How much more would Abdul have saved if he had waited until
the next day to buy the spade?
10. A candle, made from wax, is in the shape of a cylinder. The radius is 1.5cm and the height is
20 cm.
(a) Calculate, correct to the nearest cubic cm, the volume of wax in the candle.. (The volume of a
cylinder, radius r, height h, is πr2h
(b) The candle burns 0.8 cm3 of wax every minute. How long, in hours and minutes, will it last?
Write your answer correct to the nearest minute.
(c ) The candles are stored in boxes which measure x cm by 24cm by 20cm. Each box contains
96 candles. Calculate the minimum value of x.
11. A train leaves Madrid at 07 00 and travels to Cordoba, a distance of 30 kilometres. The
distance time graph shows the journey.
(a) Find the average speed of the train from Madrid to Cordoba, in kilometres per hour.
(b)The train stops for 12 minutes at Cordoba. It then continues its journey at the same average
speed to Seville.
(i) Complete the graph to show its journey
(ii) At what time does it arrive in Seville?
12
13. Complete the table of values for
y = 12 – x2
( b)On the grid draw the graph of y = 12-x2
14. ABCDE is a regular polygon with centre O.
(i) what is the special name of the polygon?
(ii)Calculate angle EOD
(iii) Calculate angle AED
15. Factorise
(a) 4x2 – 9
16.
(b) 4x2 – 9x
17.
18.
19(a) A jumper is on sale at £38.25, which is 15% off the original price. What was the original
price of the jumper?
(b)A box of Flaky Corn cereal used to contain 350g of cereal but now contains 420g for the same
price. Work out the percentage increase?
20.
21.(i)
(ii)Using the data in the above question, do the following
22.
23. Write each of these numbers in standard form
24.Simplify Fully
25.
26.
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ANSWERS
1. 781 000
2. a) 20 05 (b) i 0.4 ii 24
3. (a) 88 (b) 86.5 and 85.5
4. (a) [i] 28
[ii]176
5. (a) 9.59 (b) 210
6. B
7. (a) 2826 to 2828 or 2830 (b) 226.(080) to 226.(240) or 226.(4..)
8. $900
9. (a) 5.60 (b) 2.40
10.10.(a) 141 (b) 2h56 or 2h 57 ( c) 36
11.(a) 200 (b)[i] 2squares hori Parallel line to 470 (b)[ii]09 33
12. (b)[i]7 points plotted [ii] line of best fir [iii] height for 21 cm
13. (-3.8,-2.7)
(1.8,8.7)
14.
(i) pentagon (ii) 72 (iii) 108
15. (a) (2x-3) (2x+3) (b) x(4x-9)
16.
17.
18.
19. (a) 45 (b) 20%
20.
21.(i) 7.2 hours (ii)
22. 7cm
23.
24. (a)
(b)
(x+3)(x-2)/(x-5)(x-2) = (x+3)/(x-5)
(p-3)/(2)
25. Use Speed= Dis/Time
(c) (7x-11)/ 12
26. Use Density = Mass/Volume
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