```MATHEMATICS OLYMPIAD
SCHOOL CHALLENGE
2019
PROBLEM SOLVING
TOTAL: 20
Duration: 30 Minutes
Instructions
4. A non-programmable calculator may be used
5. This question paper consist of 10 questions
Page 1 of 5
1.
What is the number indicated by A on the ruler?
(2)
(A) 3,11
(B) 3,1
(C) 3,118
(D) 3,15
(E) 3,18
2.
The sum of seven single-digit positive whole numbers is 17. If six of these numbers
are equal, what is the other number?
(A) 1
(B) 2
(C) 3
(D) 4
(2)
(E) 5
3.
4920 people visited a fair on Saturday. There were 20% more people who visited
the fair on Sunday compered to Saturday. How many visitors were there on
Sunday?
(A) 5071
(B) 6104
(C) 5904
(D) 4980
(E) None of these
4
(D)
9
5
(E)
11
(2)
4.
Which of these fractions is the largest?
7
(A)
15
3
(B)
7
11
(C)
23
(2)
5.
The object is made by gluing together six wooden cubes. If you want to paint the
object, how many sides (faces) must be painted?
(2)
(A) 30
(B) 27
(C) 26
(D) 25
(E) 24
Page 2 of 5
6.
The sketch shows cubes stacked on a table. Each cube is 1 cm by 1 cm by 1 cm.
How many cubes are there in this stack?
(2)
(A) 6
7.
(B) 7
(C) 8
(D) 9
(E) 1
A camel herd has 80 legs, half of the camels have one hump and half have two
humps. How many humps are there in this herd?
(2)
(A) 10
8.
(B) 20
(C) 40
(D) 30
(E) 80
Which number leaves a remainder of 1 when divided by 5 and also when divided
by 7?
(2)
(A) 176
9.
(B) 761
(C) 85
(D) 716
(E) 361
In a school the ratio of boys to girls is 2:3. If there are 300 girls in the school, then
how many boys are there?
(2)
(A) 50
10.
(B) 120
(C) 100
(D) 150
(E) 200
Mavis shares 150 apples between Peter and Ben in the ratio 2:3. How many
apples will Ben get?
(2)
(A) 90
(B) 60
(C) 100
(D) 150
(E) 50
Page 3 of 5
Name of the school:________________________________________________
Name of the learner:_______________________________________________
Class:___________________________________________________________
Question
Number
1.
Marks
1
2.
1
3.
1
4.
1
5.
1
6.
1
7.
1
8.
1
9.
1
10.
1
Page 4 of 5
Memorandum Grade 7 Problem Solving School
Level
Question number
1.
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10.