1) Which of the following statements is true or false? (5 marks)
b) (-2) + (-3) = -5
C) c) (−2) × (-3) = +6
d) (-3) - (-2) = -5
e) (-3) ÷ (-3) = +1
Answers:
a. False
b. True
b. True
c. False
d. True
2) Complete the following sentences using the meaning of the given words:Time, Principal, Rate.
Answers:
a. Principal
b. Rate
c. Time
3) Complete the sentences below using radius, diameter or
circumference (2 marks)
b) The length of AB in this circle is known as………………..
Answers:
a. Circumference
b. Diameter
4) A meeting started at 10:40 a.m. and ended at 1:30 p.m. The duration of this meeting is ………. h……. min. (2 marks)
Answer:
a. 10:40 a.m. to 1:30 p.m. = 2 hours 50 minutes
5) a) What are the place values of 2 and 7 in the number 3,297,354? (2 marks)
b) What are the values of 2 and 7 in the number 675,982,840? (2 marks)
Answers
a) In 3,297,354
2 → Hundred thousands
7 → Thousands
b) In 675,982,840
2 → 2,000
7 → 70,000,000
6) Compare the numbers using ˂, ˃ or = (3 marks)
a) 537,926 < 573,926
b) 106 < 1,000,000
c) 210,034 > 201,034
7) By using the following digits: 5; 2; 9; 4; 0; Write the
biggest and the smallest whole number formed by all five digits. (2 marks)
Answers:
a. Biggest = 95,420
b. Smallest = 20,459
8) Choose the
right definition of the words “mode” and “range” in statistics. (2 marks)
b. Mode is the
most repeated number in a given data.
c. Range is the
difference between highest number and smallest number in a given data.
d. Range is the
way data are arranged in a data set.
Answers:
b. Mode is the most repeated number in a given data.
c. Range is the difference between highest number and smallest number in a given data.
9) Work out and choose the correct answer: (2 marks)
292,142 + 505,735 + 402,123=
A: 1,190,000
B: 1,199,000
C: 1,199,900
D: 1,200,000
Answers:
a. 292,142 + 505,735 + 402,123 = 1,199,000 (Correct option is B)
10) Fill in the missing term: (2 marks)
Answers:
The missing term is 35,108.
11) Choose the correct answer to: 25 + 32 = (2 marks)
A: 39
B: 42
C: 57
D: 64
Answers:
The correct answer is C: 57
12) Use<,
> or = to fill in the boxes. (3
marks)
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Answers:
a) 4.44 > 0.40
b) 3.56 < 3.65
c) 3.65 = 3.650
13) Write the correct answer to: 5.5 0.2 = 0.05 ´
A: 0.22
B: 2.2
C: 22
D: 220
Answer:
The correct answer is C
14) a) Round off 654,497 to the nearest hundreds. (1 mark)
Choose the best answer:
B: 654,498
C: 654,500
D: 654,400
Answers:
The correct answer is C
b) Round off 56.7361 to the nearest hundredths. (1 mark)
Choose the best answer:
B: 56.74
C: 56.736
D: 56.75
Answers:
The correct answer is B
15) A worker spent 1/4 of his salary on food; 1/2 of the remainder on school fees for his child and then he saved 45,000 Frw. Find the worker’s salary and choose the correct answer: (3 marks)
A: 150,000 Frw
B: 120,000 Frw
C: 90,000 Frw
D: 75,000 Frw
Answers:
The correct answer is B
16) Work out the following.
4.5 kg + 13.6 dag = ……. kg
Choose the correct answer: (2 marks)
B: 18.1
C: 5.86
D: 4.636
Answers:
The correct answer is D
17) A farmer planted 20 trees along a terrace of his land.
The trees were planted at intervals of 2 m. What is the length of the terrace
planted with trees? (2 marks)
Choose the correct answer:
A: 10 m
B: 38 m
C: 40 m D: 42 m
Answers:
The corrected answer is B
18) A cyclist left SANZE at 10:00 a.m, travelling at 40
km/hr. He arrived at its destination at 1:00 p.m. The distance covered is: (2
marks)
B: 360 km
C: 120 km
D: 60 km
Answers:
The corrected answer is C
19) Change 15:54hr from 24-hour format to 12-hour format.
Write the best answer. (2 marks)
B: 3:54 p.m
C: 4:06 a.m
D: 4:06 p.m
Answers:
The correct answer is B
20) Fill in the two following fractions in the sequence below: 1 1 1 ; ; ;......;........ 2 4 8
Answers:
1 and 1 16 32
21) The area of a triangle is 299cm2. Its height is 23 cm. Find its base and choose the correct answer.
A: 13 cm
B: 26 cm
C: 26 m
D: 13 cm2
Answers:
The correct answer is B
22) a) How many vertices does a cube have? (1 mark)
b) How many edges are there in a cuboid? (1 mark)
Answers:
a) Cube vertices = 8
b) Cuboid edges = 12
23) The perimeter of a square whose area is 576 m2 is: (2 marks)
A: 24 m
B: 48 m
C: 96 m
D: 144 m
Answers:
The correct answer is C
24) A rectangular field measuring 100 m by 50 m was drawn on a scale of 1:1000. The drawing area was: (2 marks)
A: 50 cm2
B: 50 m2
C: 5 m2
D: 5 cm2
Answers:
The correct answer is A
25) Which of the following numbers is not a probability? (2
marks)
b) -1
c) 1 4
d) 120%
Answers:
The correct answer is B (-1)
26) If a card is drawn at random from a deck of cards (52
cards), the probability of getting a king equals to: (2 marks)
B: 1 4
C: 2 13
D: 1 13
Answers:
The correct answer is D
27) A business woman requested for a loan of 4,000,000 Frw from a bank that requires her to pay 60,000 Frw as interest after 3 months. The interest rate is: (3 marks)
A: 6%
B: 10%
C: 12%
D: 18%
Answers:
The correct answer is A
28) Given the numbers 60, 84 and 96,
A: 480
B: 672
C: 3,360
D: 6,72
Answers:
The correct answer is C
b) Their greatest common factor (GCF) is: (2 marks)
B: 6
C: 4
D: 2
Answer:
The corrected answer is A
29) The length of a hollow calvert is 5m, its inner radius
is 0.4m and its outer diameter is 1.2m. Take = 3.14 The volume of the material
used to make it is: (3 marks)
B: 5,652 dm3
C: 2,512 dm3
D: 3,140 dm3
Answers:
The correct answer is D
30) A shopkeeper has a mixture of red sorghum flour and
white sorghum flour weighing 40 kg. One type costs 1,900 Frw per kg and another
costs 2,100 Frw per kg. If the mixture is sold at 2,000 Frw per kg, find the
number of kg of each type. (3 marks)
Choose the correct answer:
A: 20 kg and 20 kg
B: 20 kg and 30 kg
C: 30 kg and 40 kg
D: 40 kg and 40kg
Answer:
The correct answer is A
31) The sum of interior angles of a regular polygon is
1440°.
b) Name the polygon. (1 mark)
Answers:
a. The polygon has 10 sides
b. The polygon is called Decagon
c. The size of each exterior angle is 36°
32) In a certain town, the ratio of adults to children is
4:5. The total number of adults and children is 9909 people. Calculate the
number of children and the number of adults in this town. (3 marks)
Number of Adults: 4,404
Number of Children: 5,505
33) The shape below is a rectangle. Study it and answer the questions that follow.
34) A family got 500,000 Frw and had the following projects
they wanted to do:
(ii) Painting a house at the cost of 100,000 Frw;
(iii)Buying food for 200,000 Frw;
(iv) Buying clothes for 150,000 Frw.
a) Order the family needs according to priority. (2 marks)
b) (i) How much money does the family require to meet their budget? (2 marks)
(ii)Do they have the required amount? (2 marks)
Answers:
a. Order of the family:
1. Buying food
2. Paying school fees
3. Buying clothes
4. Painting a house
b. i) The family needs 570,000 Frw
ii) No. The family has 500,000 Frw, but their total budget is 570,000 Frw. They are short by 70,000 Frw.
iii) The Painting of the house can be done later
35) The following marks were obtained by a P6 class in a Mathematics Examination.
|
Marks |
95 |
90 |
85 |
80 |
75 |
70 |
60 |
|
Number of
learners |
2 |
3 |
8 |
1 |
6 |
3 |
2 |
|
Marks( 000) |
Number of
learners ( ) f |
( ) fx |
|
95 |
2 |
190 |
|
90 |
|
|
|
85 |
|
|
|
80 |
|
|
|
75 |
|
|
|
70 |
|
|
|
60 |
|
|
|
|
|
|
b) How many learners did the exam? (1 mark)
c) What is the modal mark? (1 mark)
d) What is the mean of the P6 class? (2 marks)
|
Marks (x) |
Number of
learners (f) |
fx |
|
95 |
2 |
190 |
|
90 |
3 |
270 |
|
85 |
8 |
680 |
|
80 |
1 |
80 |
|
75 |
6 |
450 |
|
70 |
3 |
210 |
|
60 |
2 |
120 |
|
Total |
sum f =
25 |
sum fx =
2,000 |
b.
The correct answer is 25
c. The modal mark is 85
d. The Mean Mark is 80.
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