Update:
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- The paper below is really nice, yes, but do you know what's nicer? That new site. On it, you can do practice papers and get results instantly! Here's the link:
- The paper below is really nice, yes, but do you know what's nicer? That new site. On it, you can do practice papers and get results instantly! Here's the link:
Studying Online Rocks- I know you'll love it, because you have loved this blog here.
- One more thing, when you get there, you can choose to either log in with your Facebook account or Gmail account or Yahoo account, or create a new account manually (using FB/Gmail/Yahoo is better), or you can log in as a guest (*guests cannot attempt tests).- I as yet, haven't included any other subjects besides English, but we will. Notice that I have said 'we'.
Before viewing these answers, please try Math Practice Test Paper 1. You can find it in the downloads section at the side.
I have tried to do as detailed an analysis of
the paper as I could. I have presented this in Question and Answer format for
ease of revision.
A summary of the answers in ABCD format has
been presented at the end. I simply want to make sure you read the analysis
first, that's all...
The notes that are given in each answer may
sometimes contain links to various websites that I think could be of use to you
as you read. They are presented as underlined italicized words e.g. downloads and
are dotted here and there in this analysis, please feel free to check them out.
Thanks.
1. What is 9099909 written in words?
A. Nine million nine hundred and ninety thousand and nine
B. Nine million ninety-nine thousand nine hundred and nine
C. Ninety million ninety-nine thousand nine hundred and nine
D. Ninety million nine hundred ninety-nine thousand and nine
2. How many groups of ten would represent the value of the digit 7 in the number 27435?
A. 7
B. 70
C. 700
D. 7000
3. What is 547.2698 rounded off to the nearest hundredth?
A. 550.2698
B. 547.300
C. 600.2698
D. 547.27
A. 42
B. 0.42
C. 0.042
D. 0.0042
5. What is the next number in the series?
2, 5, 14, 29, __
A. 50
B. 44
C. 36
D. 56
6. What is the value of:
A. 27
B. 72
C. 24
D. 64
7. Kiptoo repacked fifty half-litre packets of milk into 2-decilitre packets. How many 2-decilitre packets did he get?
A. 125
B. 250
C. 150
D. 25
1 litre = 10dl
50
half-litre packets = 50 X ½ = 25 litres; and if 1l = 10dl, then 25l = (25X10)
dl = 250dl.
How many
2dl packets are in 250dl? We simply divide. 250 ÷ 2 = 125 packets.
8. What is the value of?
A. 1.5
B. 0.15
C. 0.075
D. 0.75
I haven't an idea whether this will help, but I did find it nice.
9. A train travelling at an average speed 54km/h takes 5 seconds to cross a bridge. What is the length of the bridge in metres?
A. 27
B. 64.8
C. 90
D. 75
10. In the figure below line AD = line DE. Line BFC is a straight line. Angle BFE = 130° and angle ADE = 72°
What is the size of angle ECF?
A. 54°
B. 72°
C. 76°
D. 50°
11. Mwenje starts his homework at 8.30 pm. At 9.05 pm he has done half of it. At what time will he finish working at the same rate?
A. 9.40 pm
B. 9.45 pm
C. 9.35 pm
D. 9.30 pm
12. During a reduction sale, prices were reduced by 15%. Alex saved Ksh. 48.30 by buying a jacket during the sale. What was the price of the jacket before the sale?
A. Ksh. 273.30
B. Ksh. 322
C. Ksh. 332
D. Ksh. 370.30
13. What is the value of X in the equation:
A. 13
B. 5
C. 23
D. 15
More on LCM and GCD
14. The table below shows the number of goals scored by Harambee Stars in their football matches during the 2008 and 2009 season.
No. of goals
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
No. of matches
|
4
|
6
|
4
|
2
|
1
|
2
|
1
|
What was the mode of score?
A. 6
B. 2
C. 4
D. 1
The
first row represents the item being observed/analysed in the table – which here
is the number of goals scored.
The
second row has the frequency with which the item being observed has appeared.
For example the first item in the second row says that four matches have ended
with no goals scored.
So,
asked to find the mode, simply look at the frequency table and determine which
item in the first row has the highest
frequency.
The
second item in the first row has the highest frequency – 6. And what is this
item? 1. So the answer is 1. It is the mode.
15. The circle graph below shows the ages of pupils in Msambweni Primary School.
If there were 200 pupils over 12 years of age, how many pupils are between 10 and 12 years of age?
A. 600
B. 400
C. 460
D. 410
16. A tank is 2/5 full of water. After 270 litres of water have been drawn off, it becomes 1/7 full. What is the capacity of the tank when full?
A. 1000 litres
B. 1050 litres
C. 1890 litres
D. 675 litres
17. A trader bought 10 trays of eggs at Ksh. 150 each. The eggs in two trays got broken. He then sold the remaining eggs at Ksh. 6 per egg. If each tray contained 30 eggs, what loss did he make?
A. Ksh. 60
B. Ksh. 160
C. Ksh. 120
D. Ksh. 180
He
bought 10 trays of eggs at 150/- each; therefore, his buying price was:
10 X 150 = 1500/-
Since
2 trays broke, he sold only 8 trays. Let’s first find out how much he sold each
tray at. 1 tray had 30 eggs, each at 6/-.
He
sold 8 trays; therefore his selling price was:
8 X 180 = 1440/-
How
do we calculate either profit or loss?
= Selling price – Buying price
=
1440 – 1500
= –
60
18. A clock gains 5 seconds every hour. It was set right on Sunday 10.48 am. What time will it show the following Sunday at 10.48 am?
A. 11.02 am
B. 12.48 pm
C. 11.12 am
D. 11.58 am
19. The area of a right-angled triangle is 240 cm2. If the height of the triangle is 30 cm, what is the length of the longest side?
A. 25 cm
B. 34 cm
C. 36 cm
D. 42 cm
20. Kipsoi is p years old now. He is q years older than his son. Which of the following expressions represents the sum of their ages in twenty years' time?
A. p – q + 20
B. p + q + 40
C. 2p – q + 40
D. 2p – q + 20
If
he is q years older than his son, then his son is q years less than him, i.e. p
– q years old.
The
sum of their ages now is:
p +
p – q which becomes:
2p
– q
In
twenty years’ time, we will simply add 20 to their present age, and the answer
becomes:
21. The figure below represents Mwango's flower garden:
What is the perimeter of the flower garden?
A. 220 m
B. 80 m
C. 78 m
D. 108 m
22. A sum of money was shared between Salim and Hemed in the ratio 5 : 8. If Hemed got Ksh. 30 more than Salim, how much did Salim get?
A. Ksh. 65
B. Ksh. 45
C. Ksh. 26
D. Ksh. 50
Here's more on ratios, if you please...
23. The heights of seven pupils in a class were recorded as: 1.50 m, 1.45 m, 1.35 m, 1.47 m, 1.38 m, 1.49 m and 1.25 m. What was the median height?
A. 1.47 m
B. 1.45 m
C. 1.50 m
D. 1.49 m
Simply
arrange the heights given in descending order (highest to lowest):
1.50,
1.49, 1.47, 1.45, 1.38, 1.35, 1.25
Then
eliminate them first and last, first and last, first and last... until you get
the figure that is bang in the middle. Like this:
Your
median is therefore 1.45 m.
24. What is the value of:
25. A square piece of carton has four squares of side 4 cm cut from the corners. The sides are then turned up to form an open box whose volume is 64 cm3. What was the size of the carton in cm2 before it was cut?
A. 144 cm2
B. 256 cm2
C. 512 cm2
D. 48 cm2
26. The figure below is a square of side 20 cm. XW, WY, YZ and ZX are arcs of radius 10 cm.
What is the area of the shaded part?
A. 86 cm2
B. 54 cm2
C. 126 cm2
D. 157 cm2
27. A mother is five times as old as her daughter. In 18 years' time, she will be twice as old as her daughter. How old is the mother now?
A. 16
B. 46
C. 36
D. 30
28. What is the value of:
29. Ten men can do a piece of work in 18 days. How many more men must there be to finish the work in 15 days?
A. 12
B. 10
C. 2
D. 6
30. In the figure below PT is parallel to QS, PR is perpendicular to RS, angle QSR = 15° and angle PTQ = 30°.
What is the size of angle QPT?
A. 105°
B. 45°
C. 65°
D. 75°
31. A hawker bought a suit from a tailor at a price 40% less than the marked price. What profit did the hawker make on a suit marked Ksh. 900 which he later sold at Ksh. 1200?
A. Ksh. 660
B. Ksh. 540
C. Ksh. 350
D. Ksh. 280
32. The length of one of the parallel sides of a trapezium is 30 cm and the perpendicular height is 8 cm. What is the length of the other parallel side if the area of the trapezium is 312 cm2?
A. 36 cm
B. 48 cm
C. 24 cm
D. 12 cm
More on trapeziums? Here you go...
33. Draw a triangle ABC in which the base BC = 13 cm, AB = 8 cm and AC = 11 cm. Draw a bisector of angle ABC. Then draw a perpendicular from A to meet this bisector at X.
What is the length of AX?
A. 4.8 cm
B. 7.5 cm
C. 4 cm
D. 5.5 cm
34. A sales girl earns a basic salary of Ksh. 8000. For any sales above Ksh. 10000 she is paid a commission. In a certain month she sold goods worth Ksh. 160000. What was her percentage commission if her total earnings for that month were Ksh. 12000?
A. 5%
B. 4%
C. 12%
D. 2½%
35. A cylindrical container has a volume of 1584 cm3. If the height of the container is 14 cm, what is its diameter?
A. 12 cm
B. 18 cm
C. 20 cm
D. 15 cm
36. The table below shows the number of crates of soda a trader sold in one week except on Tuesday.
| Days of the week |
No. of crates
|
| Monday |
14
|
| Tuesday |
_
|
| Wednesday |
24
|
| Thursday |
12
|
| Friday |
10
|
| Saturday |
21
|
| Sunday |
20
|
A crate of soda sells at Ksh. 350. If the total sales of soda for the whole week were Ksh. 40600, how much more money did he get on Sunday than on Tuesday?
A. Ksh. 2350
B. Ksh. 1750
C. Ksh. 3150
D. Ksh. 2100
37. Onyango cut out the shape below from an iron sheet in order to make an open rectangular box.
What was the area of the iron sheet in cm2 used to make the box?
A. 388
B. 488
C. 398
D. 588
38. The cash price of a cupboard is Ksh. 8500. Mutiso bought the cupboard on cash terms and was given 10% discount. Omolo bought the same kind of cupboard on hire purchase terms whereby he paid a deposit of Ksh. 2500 plus 12 equal monthly instalments of Ksh. 650. How much more than Mutiso did Omolo pay for his cupboard?
A. Ksh. 850
B. Ksh. 1650
C. Ksh. 2500
D. Ksh. 2650
Just came across some stuff on Hire Purchase, a bit British though, but good.
39. A bus weighs 3.75 tonnes when empty and 7.5 tonnes when carrying 50 passengers. What is the average weight of each passenger?
A. 150 kg
B. 75 kg
C. 55 kg
D. 65 kg
Empty bus = 3.75 tonnes
Empty bus + Passengers = 7.5 tonnes
3.75 tonnes + Passengers = 7.5 tonnes
Passengers = (7.5 – 3.75) tonnes
=
3.75 tonnes
Since there were 50 passengers, to find their
average, you simply divide their total weight by 50.
Unfortunately, 3.75 tonnes has to be converted to
kg first.
1
tonne = 1000 kg
3.75
tonnes = (3.75 X 1000) kg
=
3750 kg
So the average weight;
=
3750 ÷ 50
=75 kg
40. Which of the following expressions is the simplest form of:
41. Bosbori bought the following items from a shop.
1½ kg of sugar @ Ksh. 80.00 per kg
½ litre packet of milk for Ksh. 34.00
1 packet of tea leaves for Ksh. 76.00
2 loaves of bread @ Ksh. 32.00
A 2 kg tin of fat for Ksh. 210
If she gave the shopkeeper two five-hundred-shilling notes, how much balance did she get?
A. Ksh. 504
B. Ksh. 479
C. Ksh. 286
D. Ksh. 496
120 + 34 + 76 + 64 + 210
=
504 /-
Now, remember, you’ve been asked what
balance would be returned if she gave the shopkeeper 1000/-
=
1000 – 504
=
496 /-
42. The figure below represents a closed cylinder whose diameter is 14 cm and it is 12 cm long.
What is its surface area?
A. 836 cm2
B. 682 cm2
C. 528 cm2
D. 616 cm2
Surface area isn't really that difficult at all, here's some more stuff on it.
43. Hassan deposited Ksh. 20000 in a bank which paid compound interest at the rate of 15% per annum. If he withdrew all his money at the end of two years, how much money did he withdraw?
A. Ksh. 26450
B. Ksh. 26000
C. Ksh. 2300
D. Ksh. 23450
With compound interest, you... OK, go here, check this out.
44. During a football match there were five times as many children as women in the stadium. There were 1800 more children than there were men. If there were 3500 women in the stadium, how many people were there in the stadium altogether?
A. 5700
B. 26700
C. 36700
D. 38700
‘...there
were five times as many children as women...’ i.e. the children were five
times the women.
So if; the
women can be represented as x
the
children will be 5x
Now, you are told ‘...there were 1800 more children than men...’
i.e.
children = men + 1800
5x = men +
1800
Men
= 5x – 1800
But then they give you the number of
women as being 3500;
i.e.
x = 3500
the children 5x \ are 5 (3500) = 17500
the men, 5x – 1800, consequently are 17500 – 1800
= 15700
The total is men + women + children;
=
15700 + 17500 + 3500
=
36700
45. Draw a line QR 6 cm long. Draw another line PQ 5 cm long. Angle PQR = 120°. To locate points S of the quadrilateral, construct angle QRS = 60 and the bisector of angle PQR. Join QS.
What is the size of angle QSR?
A. 130°
B. 110°
C. 60°
D. 74°
46. A train left Nakuru at 1850h. It took 12 hours and 55 minutes to reach Mombasa. At what time did it reach Mombasa?
A. 8.15 am
B. 7.45 am
C. 6.50 am
D. 7.35 am
47. A section of a river measuring 25 km is represented on a map by 5 cm. What is the scale used?
A. 1 : 500
B. 1 : 5000
C. 1 : 50000
D. 1 : 500000
48. How many pieces of the same length and of the greatest length can be cut from three pieces of metal of lengths 108 cm, 162 cm and 270 cm there being no leftovers?
A. 20
B. 54
C. 10
D. 27
Some more info on GCD here...
49. The table below shows rates of sending letters and postcards through the Post Office.
Wanjugu sent the following letters and postcards:
One letter weighing 18 g
Two letters each weighing 150 g
Four letters each weighing 520 g
Two postcards
How much money did she spend on postage?
A. Ksh. 595
B. Ksh. 452
C. Ksh. 574
D. Ksh. 556
The first item,
One
letter weighing 18 g = Up to
20 g (in the table)
=
21/-
The second item,
Two
letters @ 150 g =
Over 100 g up to 250 g (in the table)
=
42 X 2 (since they are two)
=
84/-
The third item,
Four
letters @ 520 g =
Over 500 g up to 1 kg (in the table)
=
113 X 4 (since they are four)
=
452/-
The fourth item,
2
postcards =
19 X 2 (since they are two)
=
38/-
Let’s add them all up:
=
21 + 84 + 452 + 38
=
595/-
50. The graph below represents Wasike's and Wafula's journeys.
If Wasike left Nairobi at 9.00 am and reached Bungoma at 3.12 pm. Which of the following statements CORRECTLY describes Wafula's journey?
A. Wafula left Nairobi at 8.00 am and reached Bungoma at 12.48 pm
B. Wafula left Nairobi at 9.00 am and reached Bungoma at 12.48 pm
C. Wafula left Bungoma at 8.00 am and reached Nairobi at 12.48 pm
D. Wafula left Bungoma at 9.00 am and reached Nairobi at 12.48 pm
5 little boxes here make up 1 cm,
right? Go count and measure.
Now, Wasike begins his journey after 1
cm; which is at 9.00 am. He takes 6 cm and one little box to get to Bungoma.
1 cm represents one hour; and one
little box represents 12 minutes – which is true, since he took 6 hours and 12
minutes to get to Bungoma.
9.00
+ 6 hrs = 15 hrs = 3 pm
+12
minutes
=
3.12 pm
Since Wafula began 1 cm earlier, he
thus started 1 hour earlier, at 8.00 am, which eliminates choices B and D.
A and C simply debate where he was
coming from and going to. (He was coming from Bungoma to Nairobi – shown in
the graph).
Now, Wafula got to Nairobi 4 cm and 4
little boxes later.
That’s 4 hours and (4 X 12) minutes
later, i.e. 4 hours and 48 minutes later.
8.00 + 4.48 = 12.48 pm
He therefore left Bungoma at 8.00 am
and got to Nairobi at 12.48 pm.
Here's a summary of the answers:
1. B
2. C
3. D
4. B
5. A
6. B
7. A
8. C
9. D
10. C
9. D
10. C
11. A
12. B
12. B
13. A
14. D
15. C
16. B
17. A
18. A
19. B
20. D
21. B
22. D
23. B
24. A
25. A
26. A
27. D
28. C
29. C
30. D
31. A
32. B
33. A
34. D
35. A
36. B
37. D
38. D
39. B
40. C
41. D
42. A
43. A
44. C
45. C
46. B
47. D
48. B
49. A
50. C
Thanks for trying the paper. Hope it helped.
Thanks for trying the paper. Hope it helped.
Hii ni very nice
ReplyDelete