Maths Olympiad Sample Paper 2 - Class 5 MCQ

As per the given data, the dates of April on which she goes for swimming are: 2, 9, 16, 23, and 30.
So, the last date of the practice will be 30th April.

3 × 2 = 6
6 × 4 = 24
9 × 6 = 54
12 × 8 = 96
15 × 10 = 150
18 × 12 = 216

The logic here is to add 2 in both the letter and the number of the 1st column to get the corresponding term of the 2nd column, and add 3 in both the letter and the number of the 2^nd column to get the corresponding term of the 3rd column.
A + 2 = C and 2 + 2 = 4
After that, C + 3 = F and 4 + 3 = 7
Similarly, K + 2 = M and 11 + 2 = 13 (answer)
After that, M + 3 = P and 13 + 3 = 16
Similarly, for the third row, C + 2 = E and E + 3 = H; 7 + 2 = 9 and 9 + 3 = 12
Therefore, M13 is the correct answer.

There are three alphabetical series. Notice that E is the 5^th letter of the English alphabet and V is the 5^th last letter of the English alphabet. Similarly, F and G are the 6thand 7^th letters, and U and T are the 6^th and 7^th last letters. J, K and L are the 10^th, 11^th and 12^th letters from the starting, and Q, P and O are the 10th, 11^th and 12^th last letters.
Thus, answer option 1 is correct.

23 : 529 : : ? : 729
529 = 23 × 23
So, 729 = 27 × 27

Circumference of the circle = 2πr
176 = 2πr
r = 28 cm
So, diameter of the circle = 2r = 56 cm

Let the breadth be b and the length be 3b.
Perimeter = 2(l + b)
88 cm = 2(3b + b)
44 cm = 4b
b = 44/4  cm
b = 11 cm
l = 3b
l = 3 × 11 cm = 33 cm
Area of the rectangle = 11 cm × 33 cm = 363 cm²

Number of cupcakes baked by Raveena in 2 hours = 34
Number of cupcakes baked by Raveena in 1 hour = 34 ÷ 2 = 17
Number of cupcakes baked by Raveena in 9 hours = 17 × 9 = 153

2x + 5x + 8x + 15x = 360°
30x = 360°
⇒ x = 12°
2 x 12° = 24°
5 x 12° = 60°
8 x 12° = 96°
15 x 12° = 180°
Sum of the smallest and the largest angles = 24° + 180° = 204°

Multiple is a number that when divided by another number does not give any remainder. So, there are 4 multiples of 4.
(8, 24, 24, 48)

24 = 2 × 2 × 2 × 3
12 = 2 × 2 × 3
20 = 2 × 2 × 5
LCM = 2 × 2 × 2 × 3 × 5 = 120
HCF = 4

A prime number has exactly 2 factors, 1 and the number itself.
First five prime numbers = 2, 3, 5, 7, 11
Product = 2 × 3 × 5 × 7 × 11
= 2310
[1 is not a prime number]

Starting time = 7:05 AM
Duration of journey = 13 hours 35 minutes. = 13:35
End time = 13:35 + 7:05 = 20:40
According to analog clock = 20:40 – 12:00
= 8:40 PM

Cost of breakfast for each day = Rs. 60
Extra charges for 5 days = Rs. 10/week = Rs. 10
Total cost = (5 × Cost of breakfast for each day) + Extra charges = Rs. (5 × 60) + Rs. 10 = Rs. (300 + 10) = Rs. 310

Number of red candies = 70
Number of blue candies = 30
Ratio of red candies to blue candies = 70 : 30
Both 70 and 30 are multiples of 10.
Therefore, the ratio is 7 : 3.

Price of 4 pizzas = Rs. 1000
Cost of 1 pizza = 1000 ÷ 4 = Rs. 250
Cost of 2 pizzas = 250 × 2 = Rs. 500
Cost of 1 Coke = Rs. 50
Total amount = 500 + 50 = Rs. 550
So, they can buy 2 pizzas and 1 Coke with the available amount.

Sushil has Rs. 593.40.
Ram has Rs. 605.60.
Ruhi has Rs. (2 × 593.40) + Rs. 605.60
= Rs. (1186.8 + 605.60) = Rs.1792.40

Capacity of one person for one day = 750 gm
Capacity of two persons for one day = 1500 gm
Capacity of 2 persons for 7 days = 1500 gm × 7
= 10,500 gm

Total commission earned = Rs. 950
Commission earned on selling one blanket = Rs. 50
Number of blankets sold = 950 ÷ 50 = 19

A machine manufactures 2,825 screws a day.
So, in 30 days, machine manufactures = 2,825 × 30 = 84,750 screws
The number of screws that each dealer gets = 84, 750/5 =  16,950 screws

Quantity of soft drink in 1 can = 440 ml
Quantity of soft drink in 25 such cans = 440 × 25 ml = 11,000 ml
As, 1 ml = 0.001 litres
So, Required quantity = 11,000 × 0.001 = 11 litres

Price of 12 chocolates = Rs. 780
Price of 1 chocolate = 780/12 = Rs. 65
So, price of 135 chocolates = 135 × 65
= Rs. 8,775

The two circles which represent the number of students travelling by bus and aeroplane are shown.
The region which is common to both represents the children who like to travel both by bus and aeroplane.
This region has the number 5 that gives us the total number of students.

According to 7 days cycle of a week, it will be Wednesday on 5^th, 12^th, 19^th and 26^th of April.
If 19^th is a Wednesday, 21^st will be a Friday.

This is a simple division series; each number is one-third of the previous number. In other terms to say, the number is divided by 3 successively to get the next result.
9 ÷ 3 = 3, 3 ÷ 3 = 1, 1 ÷ 3 = 1/3
So, next term = 1/3 ÷ 3 = 1/9

The pattern is as follows:
75 - 10 = 65
65 - 9 = 56
56 - 8 = 48
48 - 7 = 41, and so on
Hence, we are subtracting 10, 9, 8, and so on from the terms.

AT, BS, CR, ____
The pattern followed is as below:
AT
(A + 1) (T - 1) = BS
(B + 1) (S - T) = CR
(C + 1) (R - 1) = DQ
The second letter in each pair moves backward, while the first letter moves forward.
A, B, C, D and T, S, R, Q
Hence, the next pair will be DQ.

F stands for 2, U stands for 6 and R stands for 8.
FUR = 268

As keyboard is used to type anything on computer, we use pen to write on a notebook.
Hence, 'pen' is the correct word.

1. The brown cat (Br) is smaller than the white cat (W), means Br < W.
2. But the brown cat (Br) is larger than the black cat (B), means B < Br.
From 1 and 2, the increasing order is: B < Br < W.
Hence, the white cat is the largest cat.