PRIMARY SIX EVALUATION TEST IV TERM FOR SECOND TERM/2024-2025
SUBJECT: MATHEMATICS
PUPIL’S NAME:........................................................................
DATE:............/FEBRUARY/2025
DURATION: 2 HOURS
MARKS: .............../100
INSTRUCTIONS:
1. All questions are compulsory
2. Read each question carefully before answering it.
3. Do rough work under each question and show all your working clearly
1. Write in words:8,000,200Frw (2marks)
2. Multiply: 986,342×76 (2marks)
3.Round off 45,367,789 to the underlined
digit (2marks)
4. Simplify completely: 3(m-2n)-2(m-4n)
(2marks)
5. Without using a number line. (2marks)
a. (+28) ÷ ( +7)=
b. (-7) + ( +5)=
‘
6. Solve for w: -3(6-3w)=36 (2marks)
7. Arrange the following integers in ascending
order: -6, +3, -2, 0, +5, and -9 (2marks)
8. Calculate the area of the figure below
(2marks)
9. A trader bought a tray of 30eggs at
12,500frw and later sold each egg at 500frw.
a) Calculate his profit (2marks)
b) What was his percentage profit (2marks)
10. Shade 30% of the figure below (2marks)
0.36+0.24
11. Simplify: (3marks)
0.4×0.3
12. If 6k0 and 4k0 are complementary angles,
what is the value of k (2marks)
13. Change 20:45hrs into 12-hour clock
system (2marks)
2 3
14. Write to as a ratio (2marks)
5 7
15. The LCM of two numbers id 72 and their
GCF is 6.If one of the numbers is 18, find the
second number (3marks)
16. Correct 95.752 to one decimal place
(2marks)
17. Simplify: 4k-5m+2k-3m (2marks)
18. What is the square root of 2.25 (2marks)
4 8 5 14
( ÷ )+( × )
15 45 7 15
19. Simplify completely: 26
9
(3marks)
20. A carton of salt contains 40packets. Each
packet has a mass of 250 grams. Workout the
mass in kilograms of all packets of salt in the
carton (2marks)
21. List all factors of 48 have and how many
that factors (2marks)
22. Solve: 3(x+4)= 24 (2marks)
23.Find the value of angle y in the diagram
(2marks)
24. A B and C shared some money in the ratio
of 2:5:8 respectively. If C got 90,000Frw, how
much did they share altogether (3marks)
25. The sum of two integers is +30. Dividing
the largest integer by the smallest integer
gives the quotient of -6. What are the two
integers? 3marks)
11 21 23
26. Simplify: - ÷ (3marks)
2 4 4
20
27. A pupil scored in the first term
25
18
mathematics test and 20 in the second term
Mathematics test. In which test did the pupil
perform better? (2marks)
3
28. Express as a percentage. (2marks)
5
6
29. A car covered 240km. This is only 7 of the
whole journey. What is the distance of the
whole journey? (2marks)
30. In a school, lessons in lower, middle and
upper classes take intervals of 30 minutes, 40
minutes and 1 hour respectively. If all lessons
started at 8:30 am. At what time will they
start together again? (3marks)
31. Express 20m/s into km/hr (2marks)
32. 12 technicians can paint a school building
in 10 days. How long will 15 technicians take
to paint the same building working at the
same rate? (2marks)
33. Mrs. Sasha started her journey from
Saroti at 8:30am and arrived Kampala at
3:45pm. How long did she take travelling?
(2marks)
34. Electricity poles are fixed 50m apart along
a distance of 4500m. How many poles are
fixed (3marks)
35(a)The area of rectangle is 72dm2 and
length is 9dm. Find the perimeter and area of
square whose side is equal to the width of
rectangle (4marks)
b) Calculate the simple interest on
180,000Frw at the rate of 5% per month for
1
12 years (3marks)
36.How long will a loan of 500,000 Frw at a
simple interest rate of 20% per annum take to
yield simple interest of 75,000Frw? (3marks)
37. A herdsman constructed a circular kraal
22
of diameter 14m. ( Use 𝜋 = 7 )
a) Find the area of the kraal (2marks)
b) Calculate the circumference of the kraal
(2marks)
c) If the kraal was fenced with poles fixed
2 metres apart at a cost of 1500frw per pole,
how much did he spend? (2marks)
38. In the diagram below, line AB is parallel
to line CD. Study the diagram and use it to
answer the questions that follow
Find the size of angle p and angle k (4marks)
39a) Increase 12000 in ratio of 4:3 (2marks)
b) Decrease 6000 frw by 20% (2marks)
40. A man has 12 notes of 5000frw, 20 notes
of 1000frw and 40 notes of 500 frw. Find the
total amount of money the man has. (3marks)
41. Use quick arithmetic to work out
(4marks) b) 346 x 99
a)8456 x25
42. Mummy used 25% of her monthly salary
on food. ½ of the remainder on medical care
and saved the rest.
a) What fraction of his salary did she spend
on medical care. (2marks)
b) What fraction did he remain with after
spending on all items. (2marks)
c) If she saved 36,000frw, find her salary
(3marks)
43. At graduation party a mother prepared
juice and packed it in a rectangular container
measuring 60cm by 40cm by 50cm.
a) Calculate the volume of the container
(3marks)
b) How many litres of juice can it hold when it
is completely full (2marks)
44. Below is a rectangle KLMN. Use it to
answer the questions that follow
a) Find the value of x (2marks)
b) Find the length of the diagonal KM
(5marks)
45. Two vehicles started moving at 7:45 am.
One moving from Kigali to Rusizi and another
from Rusizi to Kigali. The first one was moving
at 90km/hr and the second one 70km/hr. If
the distance between the two towns is 288km
a) Find the time the two cars will meet?
(5marks)
b) What distances will each car had covered?
(2marks)
