Problem 31 :
Find the total mass, in kilograms, of 200 blocks of chocolate each weigh 120 grams.
a) 2400 kg b) 2.4 kg c) 24 kg d) 26 kg
Solution :
Weight of each chocolate = 120 grams
Number of blocks = 200
Total weight = 120 x 200
= 24000 grams
Converting grams to kg,
1000 grams = 1 kg
= 24000/1000
= 24 kg
Problem 32 :
What is the probability of picking a number 9 from a pack of playing cards?
a) 1/16 b) 1/13 c) 1/52 d) 1/15
Solution :
Total number of cards in a pack = 52
Number of cards which numbered 9 = 4
Required probability = 4/52
= 1/13
Problem 33 :
In a park there are some cats and dogs. The number of cats’ feet is double the size of the number of dogs’ noses. The number of cats is _____ of the number of dogs.
a) Double the size b) Half the size c) The same size
d) Quarter the size
Solution :
Let x b the number of cats and y be the number of dogs.
Every cat will have 4 legs and each dog will have 1 nose.
4x = 2y
x = 2y/4
x = y/2
So, the answer is half the size.
Problem 34 :
A bus travels 400 km in 8 hours then what is the average speed of the bus?
a) 30 km/h b) 50 km/h c) 50 ½ km/h d) 60 km/h
Solution :
Distance traveled = 400 km
time taken = 8 hours
Average speed = 400/8
= 50 km/hr
Problem 35 :
Jessy has 72 oranges. Four oranges are needed to make a glass of freshly squeezed orange juice. How many glasses of orange juice can she make?
a) 20 b) 88 c) 80 d) 18
Solution :
Number of oranges Jessy has = 72
Number of oranges will be needed to make a glass of juice
= 4
Number of glasses of juice she can make = 72/4
= 18 glasses.
Problem 36 :
Find the number of lines of symmetry of the following shape.
a) 2 b) 6 c) 4 d) 5
Number of lines of symmetry can be drawn = 4
Problem 37 :
In the diagram, the area of each circle is 1 cm^{2}. The area common to two overlapping circles is 1/8 cm^{2}. What is the area of the region covered by the five circles?
a) 4 cm^{2} b) 9/2 cm^{2} c) 35/8 cm^{2} d) 19/4 cm^{2}
Solution :
Number of circles = 5
Number of overlapping regions = 4
= 1 x 5 - 4 x 1/8
= 5 - 1/2
= 9/2 cm^{2}
Problem 38 :
How many edges are in a triangular prism?
a) 6 b) 8 c) 9 d) 12
Solution :
Number of edges in the triangular prism = 9
Problem 39 :
What is the ratio of 500 ml to 2 litres in its simplest form?
a) 1 : 4 b) 4 : 3 c) 3 : 4 d) 4 : 1
Solution :
500 ml : 2 liters
Converting them into same quantities, we get
1 liter = 1000 ml then 2 liter = 2000 ml
= 500 : 2000
= 1 : 4
Problem 40 :
Find the missing number in the following proportion
x : 8 = 12 : 32
a) 4 b) 3 c) 2 d) 16
Solution :
x : 8 = 12 : 32
x/8 = 12/32
x = (12/32) 8
x = 12/4
x = 3
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