MATHEMATICS WEEK 2024
JUNIOR SECONDARY MATHEMATICS OLYMPIADS
GRADE EIGHT
DATE: 15 – 19 JULY 2024
TIME: 80 MINUTES
Instructions:
1.
2.
Write your final answer ONLY in the space provided.
Calculators are not permitted.
Grade Eight Mathematics Olympiad 2024
SN
QUESTION
2
1
Evaluate 20 − 20 × 5.
1
3
13
2
If + = , find the value of k.
6
k
24
3
4
Evaluate 4.4 × 2.5 × 100.
2
2
If 7 of the books in a home library is 180, find 3 of the books in the library.
5
How many days are there from 15th July 2024 (Not included) to 2
September 2024?
Find the value of 28 ÷ 0.7
Find the value of 4x3 − 3x when x = −2.
Romy placed biscuits in the oven at a certain time. It took 1 hour 25
minutes to bake. If the biscuits were ready at 10:10 at what time was it
placed in the oven?
Evaluate 202 × 201 – 201 × 201.
Dillon beat the 400 metres school record which was 38.1 seconds by 1.4
seconds. What was the new record in seconds?
The HCF and LCM of 2 numbers is 12 and 180. If one number is 60, find
the other number.
An equal number of K2 and K5 notes were place in a bag. When added
together, the total amount was K350. How many K5 notes were there?
If one quarter of a certain number is 30, what is one fifth of this number?
6
7
8
9
10
11
12
13
14
15
17
18
19
20
3
A container is 4 full of water. When 200 litres are removed, it is two thirds
full. What is the capacity of the container when full?
The sum of the digits of a 3 digit number abc (a, b and c digits) is as
follows: a + b = 9,
b + c = 10 and a + c = 7. What is the 3 digit
number?
Evaluate 15 × 20 − 20 × 20.
If 40% of the area of the land is 800 m2 , what is the area of the land?
Find the sum of the numbers in the 6th bracket for this sequence:
(2, 4), (6, 8, 10), (12, 14, 16, 18), …
Write down the expression that ‘w’ stands for: 9x3 − 27x2 = 𝑤(x − 3).
ANSWER