Question 1
Nhlavu eats 35% of a cake, Madu eats 15% of it and Jabu, who does
not understand percentages yes, eats one fifth of it. What fraction is
left for their grandmother to eat?
Question 2
A milk tanker travels 40 meters from the farm to the cheese factory at
a constant speed of 60m/h, starting with a full tank of 400 litres of
milk. The milk has been leaking at a constant rate through tout the
journey at 75 litres per hour.
How much milk remains in the tank when it arrives?
Question 3
A litre of water weighs 1kg, and litre of ice weighs 870g. What is the
difference in kg between the weights of 6 litres of water and 5 litres of
ice?
Question 4
What is the smallest positive integer x for which 𝑥 2 + 3𝑥 + 5 Is a
prime number?
Question 5
The integers from one to eleven are written in numerical order. They
are then rewritten in alphabetical order. Two integers each appear in
the same position in alphabetical list as they do in numerical list.
What is their sum?
Question 6
I was interested in studying the word length of a passage in the book I
am reading. Below is a frequency table of my findings.
What is the number you get by multiplying the mean by the range?
Question 7
A rectangle has an area of 66cm2. When the height of the rectangle is
increased by 2cm and the length decreased by 3cm a square is formed.
What is the area of the square?
Question 8
In the diagram , O is the centre of the circle, and A,B, and C are
points on the circumference. Angle OAB = 70o and angle OCB = 40o.
What is the angle ABC?
Question 9
A shop sells zigs, zogs and zags. Five zigs cost the same as six zags,
and seven zogs cost the same as four zigs. Write them in order of cost,
cheapest first.
Question 10
A metal bar weighs 68kg, and it is made into 20 000 identical
pendants.
What is the weight of each pendant in grams.
Solutions
Question 1
3
10
Question 2
350 litres
Question 3
1.65
Question 4
3
Question 5
11
Question 6
1
32.2 or 32 5 𝑜𝑟
Question 7
64 cm2
Question 8
110o
Question 9
zogs, zags,zigs
Question 10
3.4 grams
161
5