🇷🇼 Rwanda National Examinations Council
MATHEMATICS PRIMARY LEAVING EXAMINATION 2011
Primary Leaving National Examination — October 2011
📝 Student Information
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SECTION A — Answer ALL Questions (65 Marks)
Questions carry 2 or 3 marks as shown. Choose ONE answer unless stated otherwise.
1
Simplify completely:
4 × 12 × 213 × 18 × 14
3 pts
2
Add and correct to two decimal places: 0.451 + 1.002
3 pts
3
Calculate: 2 hr 24 min − 1 hr 56 min
2 pts
4
Find the next TWO numbers in the sequence: 2, 6, 18, 54 … (select both)
2 pts
5
Calculate: 3/7 of 21
2 pts
6
Which of these fractions is the smallest? 9/12 14/19 21/147 5/7
2 pts
7
Find the area of a square whose perimeter is 44 cm.
2 pts
8
Decrease 50 litres of milk by 30%.
2 pts
9
Simplify: 6x²y⁴ ÷ 3xy²
2 pts
10
If a = 2, b = −1 and c = 3, find the value of: ab + 3c
2 pts
11
Increase 18,000 frw in the ratio 5 : 3.
2 pts
12
Calculate the perimeter of a regular octagon with 6 cm sides.
2 pts
13
Write in words: 2,450,005 frw
2 pts
14
If 4 kg of rice feeds 3 men, how many kg are needed to feed 12 men?
2 pts
15
Find simple interest on 3,000,000 frw at 10% per year for 2 years.
2 pts
16
Find the area of a triangle with height 7 cm and base 4 cm.
2 pts
17
Find the perimeter of a semi-circle with diameter 70 cm (π = 22/7).
2 pts
18
A boy is 3 years older than his sister. The sum of their ages is 25. What is the sister’s age?
2 pts
19
How many exercise books costing 200 frw each can be bought with 2,100 frw?
2 pts
20
Calculate the volume of a cube with side 6.3 cm.
2 pts
21
How many US dollars can you buy with 11,000,000 frw at a rate of 550 frw = 1 dollar?
2 pts
22
How many notes are BETWEEN serial numbers AR0212461 and AR0212480?
2 pts
23
Find the area of a rhombus with diagonals 12 cm and 14 cm.
2 pts
24
Simplify:
√27 × √755
2 pts
25
Musa buys a cow for 110,000 frw. He sells it at a profit of 10% after paying a 5% tax on the selling price. What is the selling price?
3 pts
26
Find the final amount when 300,000 frw is invested at 5% compound interest for 2 years.
3 pts
27
Calculate the total surface area of a rectangular block: Width = 12 cm, Length = 19 cm, Height = 7 cm.
3 pts
28
10 kg of beans are mixed with 20 kg of maize. One kg of the mixture costs 160 frw. If one kg of maize costs 140 frw, find the cost of one kg of beans.
3 pts
29
6 men can cultivate a field in 2 days. How many days would it take 4 men?
3 pts
SECTION B — Answer FIVE Questions Only (35 Marks)
Each question carries 7 marks. Sub-questions are shown below.
30a
Solve: (4x − 2) / 5 = x/2 + 2
3 pts
30b
Simplify: 3m − 6n − 2m + 8n
3 pts
31
Simplify completely:
[ (4/15 × 45/8) + (5/7 × 14/15) ] ÷ 26/9
4 pts
📊 Q32: Frequency table — x: 5,7,9,10,11,12,13 | f: 2,2,2,4,2,2,4
32
Using the frequency table above, match the statistics to their correct values: Total Frequency (Tf) = ?, Total fx (Tfx) = ?, Mean = ?
6 pts
🔣 Q33: A = {a, b, c, d, e, f} — these represent faces of a 3D shape. B = {faces of a cube} = {a, b, c, d, e, f} → A ∩ B
33
Identify the members of A ∩ B where A = {a, b, c, d, e, f} and B = {faces of a cube} (select all that apply).
4 pts
ℹ️ The faces of a cube are typically labelled: top, bottom, front, back, left, right — matching {a, c, e, f} in the original paper’s Venn diagram context.
34
Find the area of the right-angled trapezium with slant height = 5 cm and base extension = 4 cm (Perimeter = 24 cm). The parallel sides are 8 cm and 11 cm, height = 4 cm (derived from the figure).
6 pts
🚗 Q35: Town A and B are 170 km apart. Bus from A at 56 km/hr, car from B at 80 km/hr, both leave at 9:00 am.
35a
At what distance from town A do the two vehicles meet?
5 pts
35b
At what time do the two vehicles meet?
4 pts
📋 Your Results
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