PRIMARY FIVE MATHEMATICS

MOSTLY FAILED AND CHALLENGING COMPETENCES

NAME:_____________________________________________________________

1. Workout the following. ii. 3 m+60=80

a) 214 x 3
s

(c) I think of a number, double it and take

b) 56421 – 32196
away 9, the result is 1. Find the number?

c) Share 459 books equally among 3

classes

4. Kasimagwa is p years old and his brother

Dodo is ( P+8) years old. If there total age
is 30 years old.
a) Find the value of p

2. Simplify: 9y + 8m – 2y +m

b) How old is Dodo?

3. (a) I think of a number, add 8 to it and
the result is 29. What is the number?

c) How old will Kasimagwa be after 10

years?
(b) Solve for the unknown.
p
i. 5
= 12
 5. If m =8, a = 10 and n = 2. Find the value 7. On the tour day, Rodrick was given the
of; following notes:
a) m + a + n 3 notes of one thousand shillings
5 notes of five thousand shillings
2 notes of ten thousand shillings.
a) How much money was he given?
b) ma + 5n

ma
c) 4

b) If he used shs. 35,000 find his

change.

6. (a)The cost of 2 books is shs. 2000. Find

the cost of 6 similar books.
8. Oluka bought the following items from
the shop.
3 rulers at shs. 1200 per ruler
4 books at shs. 4800
2 pens at shs. 1500 each.
a) How much money did he spend on all
the items?
(b) Osama bought a pen at shs. 10,000 and
sold it at shs. 7500. Find his loss.

b) If he was given change of shs. 1100. How

(c) Tom bought 10 tomatoes at shs 2500 and
much did he have at first?
later sold each tomato at shs. 200. What
loss did he make?
c) If he later sold pens at shs. 2000 each, 10. (a) Jovia poured 10 cups of 300ml each
how much did he gain. into a bucket to fill it. Find the capacity of
the bucket.

9. Study the map below and answer the

questions that follow. (b)The length of a building is 8 metres.
10Km Change the height in cm.
A C

5Km
7Km

(c) Find the sum of 42kg and 957kg

B
a) Find the longest distance from town A to
town C

(d)Dan and Musa carried 6kg of meat each

from the butchery. Find the total mass
they carried altogether in grams.
b) A rally car was driven around the three
towns five times. What distance did it
cover?

1
(e) Convert 4 2 kg to grams

c) Lynette took a direct route from A to

town B. her vehicle broke down after
covering 2400m. find the distance left to
(f) John moved around the rectangular room
cover the journey.
measuring 10m by 9m thrice. What
distance did he cover?
11. Use the figure below to answer the (c) Show a quarter to five on the clock face
questions that follow. below.

n 8hm

12hm 13. (a) Ochodi covered a distance of 120km

at a speed of 60km/hr. what time did he
a) Find the value of m and n take?
m=____________

n =_____________

b) Calculate its area

(b) A bus took 3 hours to travel from Jinja to
Kampala a distance of 81km. find its
speed.

c) What distance will an insect cover if it

moves around the above figure twice?
(c) The driver covered a distance in 3 hours
at an average speed of 80km/hr. find the
distance covered.

12. (a) convert 2 weeks to days

(d) Write the morning time shown on the

(b) Our teacher had a maternity leave of clock faces below
five days. For how many hours was her
leave?
 14. (a) How many days are in the month of 2
16. In a class of 40 pupils, 5 are girls and the
February of a leap year?
rest are boys.
a) Find the fraction of boys

(b) A vehicle covered a distance of 120km in

2 hours. At what speed was it travelling?

b) How many more girls than boys are in

the class
(c) If the same vehicle is to cover the same
distance above at a speed of 40km/hr,
what time will it take?

1
c) If 4 of the boys have watches, how
many boys do not have watches?
15. (a) Use the numberline below to work
2
out 3 x 3

12345678
0
33333333 3
17. The tank contains 480 litres of water. 4
of the water is used to water the crops
and the rest for washing.
2 (a) Find the fraction used for washing?
(b) Find the fourth equivalent fraction of 3

2
(b) How many more litres were used for
(c) Convert 10 3 as an improper fraction. watering crops than washing?
 18. If represents 5 cups, how many cups
are represented by 4 such pictures?

19. The graph below shows the the number of mangoes collected from a farm in five days.
Mon- 40, Tue – 25, Wed – 45, Thu -40, Fri – 30

50

Num 40
ber
of 30
man
goes 20

10

0
Mon Tue Wed Thur Fri

Days of the week

From the graph above,

a) On which day was the least number of d) Find the modal number of mangoes
mangoes collected?

b) Find the range of the mangoes collected

e) Find the average number of mangoes

collected.

c) Find the median number of mangoes

20. (a) Use the table below to complete the bar graph below.
Names John James Joseph Joshu Joel
a
Marks 80 90 95 80 100
100
90
80
Mar
ks 70
score 60
d by
50
pupi
40
ls
30

20

10

0
John James Joseph Joshua Joel

Names of pupils

(c) Find the range of marks (e) Calculate the average mark

(d) What was the modal score?

21. Five children of the same family collected the following apples from the forest.
- Emma collected 42 apples

- Daniel collected 18 aples - Evelyne collected 36 aples

- Aga collected 30 apples - Daniella collected 24 apples
 Using a scale of to represent 6 apples, draw a bar graph to represent the above
information.

Name of pupil Number of apples

(d) Nambuya turned clockwise from

22. (a) Find the larger angle between East North to West. Through what angle
and South West? did she turn?

(b) Find the smaller angle between

south and west.
(e) Preston turned clockwise through an
angle of 1350 from North. In which
direction is he facing?

(c) What is the larger angle between

East and South West?
23. (a) Using a protractor, draw an angle of 24. Find the value of k
550

400
2k

(b) Measure the angle below.

K
2k

(c) Draw a line segment ZX of length

6.3 cm 3k 100

(d) Measure the line segment PG

600
(d) Draw a line perpendicular to line
XY to meet at point K. 2k 400

4k
X

500
25. Draw the following figures and show (b) Find its perimeter
their lines of folding symmetry.
a) Isosceles triangle

27. (a)Complete the abacus below

b) Kite
H T O H T O H T O

O O
O O
O O O
O O O O
O O O O O
O O O O O O
c) Square
+ =

d) Rectangle
(b) Write in figures. Four thousand ninety –
six

e) Equilateral triangle (c) Expand four thousand eight hundred

forty-six using values

26. (a)With the help of a pencil, a ruler and a (d) Write the expanded number in words.
pair of compasses only, construct a (4 x10) + (9 x 1000) + (3 x 100)
triangle ABC where AB = 7cm, BC= AC =
5cm

(e) Correct 463 to the nearest hundreds.

28. (a) Complete the abacus below (c) What is the place value of each digit in
234five

O
O
O
O O
O O O
O O O (d) Write 203five in words.
O O O

(b) Write the number shown on the above

abacus in words.
30. (a) find the missing number:
1, 4, 9, 16, ____________
(c) Round off the above number to the
nearest tens.
(b) Find the sum of the missing numbers in
the sequence:
45, 42, 39, 36, _______,_________

(d) Find the sum of the values of the digits

in the place values of thousands and
tens on the above abacus. 31. Study the venn diagram below and
answer the questions that follow.
PF2 PFX

21
23 22 32
(e)Write the place value of the 6 in 4689.
31

a) Find the value of X

29. (a) Add 143five + 101five

(b) Subtract 13five from 221five b) Using the above diagram,

i. Find the GCF of 24 and X
 ii. Find the LCM of 24 and X
(d) Find the square root of 36

32. (a) Find the GCF of 10 and 8

33. (a) What is additive inverse of -12?

(b) P.5 pupils can be made to sit in

groups of 6 boys or 8 girls leaving no
remainder of any child. Find the least
number of pupils in P.5. (b) Staring from -3, show +5 on the
numberline below.

(c) Fill in the value of the unknown.

(c) write an integer to show the movement of;
24
(i) 8 steps backward

(ii) Five steps forward

6 (iii)

34. Study the numberline below and use it to answer the questions that follow.

M
K

- - - - - + + + + + + + +
5 4 3 2 1 0 1 2 3 4 5 6 7 8

N
 (a) Find the value of;
(i) K =__________ (ii) N=___________ (iii) M=____________

(b) Write the mathematical statement shown above.

35. Study the numberline below

X
P

- - - - - + + + + + + + +
5 4 3 2 1 0 1 2 3 4 5 6 7 8

(a) Find the value of;

(i) X =____________ (ii) Y =_________ (iii) P=______________

(b) Write the mathematical statement shown above.

36. Complete the table below by filling in the unknown and draw the tallies for each
Mangoes 5 + 9 = ________

Books 2 x _____ = 8

Pencils 24 – 6 = ______

Oranges 30÷ 2 = 15

37. Name the set below (4 trees) K = {all vowel letters}. Find n(P nK)

38. Use the venn diagram below to answer

the questions that follow.
(b) Draw a set of 4 pots.
P K
cat
pen
ruler
man
(c) If A = {1, 2, 3, 4, 5} and B = {2,3,5,7,11}. cup
doe
Find AnB
a) List the elements of set;
(d) If P= (first six alphabet letters) and (i) K
 (ii) B
(b) Represent the above information on the
(ii) P venn diagram below
B A

b) Find n(p-k)

c) How many members are in p u

k?

39. Given that set K={a, b, u, s, e} and

L={all vowel letters}
a) Represent the above information on
the venn diagram below
L K

b) Find K u L

c) Find n( L- K)
40. Given that A = {first odd numbers
less than 9} and set B = {first five prime
numers}
(a) list down the elements of set
(i) A