CBSE Class 6 Mathematics IMO Olympiad MCQs with Answers Set F

LOGICAL REASONING

Question. How many cubes are there in the given figure?

A. 16
B. 20
C. 21
D. 22
Answer : C

Question. Find the missing character, if same rule is followed in all the three figures.

A. L
B. M
C. T
D. U
Answer : D

Question. In which of the following options, Fig. (X) is exactly embedded as one of its part?

Answer : C

Question. Varun is Megha's brother. Nihal is Jay's father.
Ritu is Megha's mother. Varun and Jay are brothers.
How is Ritu related to Nihal?
A. Sister
B. Mother
C. Daughter
D. Wife
Answer : D

Question. In a certain code, VALUE is written as XCNWG, how will MONTH be written in the same code?
A. OPGVJ
B. NPQVJ
C. OQPVJ
D. OPQVJ
Answer : C

Question. Select a figure from the options which will complete the given figure matrix.

Answer : B

Question. Garima is facing North-west after turning 225° anti-clockwise. Which direction she was facing at the start?

A. East
B. West
C. North-East
D. South
Answer : D

Question. There is a certain relationship between figures (1) and (2). Establish a similar relationship between figures (3) and (4) by selecting a suitable figure from the options which will replace the (?) in figure (4).

Answer : D

Question. Which letter/number in the given alpha-numeric sequence is exactly in the middle of the 9th letter/ number from the left end and 10th letter/number from the right end?
H 2 5 X A 3 B C Z T 4 2 1 S 6 P 9 D O W U 7 N M
A. O
B. T
C. 2
D. P
Answer : C

Question. Select the correct mirror image of Fig. (X), if mirror is placed along MN.

Answer : A

Question. A square transparent sheet (X) with a pattern is given.
Find the figure from the options as to how the pattern would appear when the transparent sheet is folded along the dotted line.

Answer : A

Question. Arrange the given words as they occur in a dictionary and select the correct option.
1. Across 2. Achy
3. Accuse 4. Acana
5. Accrual
A. 3, 2, 4, 5, 1
B. 4, 2, 3, 5, 1
C. 4, 3, 2, 5, 1
D. 4, 5, 3, 2, 1
Answer : D

Question. Select a figure form the options which will replace the (?) as established by the Problem Figures

Answer : C

Question. If '+' denotes '÷', '–' denotes '×' and '×' denotes '+', then the value of 125 + 25 – 20 × 80 = .
A. 180
B. 90
C. 200
D. 20
Answer : A

Question. Raman obtained more marks than Amit, but less than Sumit. Raj obtained more marks than Virat, but less than Harsh. Sumit obtained less marks than Virat.
Who obtained the lowest marks?
A. Sumit
B. Harsh
C. Raj
D. Amit
Answer : D

MATHEMATICAL REASONING

Question. A certain seven-digit number has only ones in the ones period, only threes in the thousands period and only twos in the lakhs period. Write this number in words in the International system of numeration.
A. Two million two hundred thirty three thousand one hundred eleven
B. Twenty two million thirty three thousand one hundred eleven
C. Two lakh thirty three thousand one hundred eleven
D. Twenty two lakh thirty three hundred one hundred eleven.
Answer : A

Question. Consider the following statements and select the correct option. The numbers 24984, 26784 and 28584 are ..................
I. divisible by 3
II. divisible by 4
III. divisible by 9
A. I, II and III are correct
B. Only I and II are correct
C. Only II and III are correct
D. Only I and III are correct
Answer : A

Question. 13/48 is equal to .................

Answer : D

Question. The value of 6202.5 + 620.25 + 62.025 + 6.2025 + 0.62025 = .................
A. 6800.47780
B. 6819.59775
C. 6891.59775
D. 6793.45975
Answer : C

Question. Which of the following statements is correct?
A. Successor of a number can be obtained by subtracting 1.
B. The difference between successor and predecessor of a number is the smallest composite number.
C. The difference between least natural number and least whole number is 1.
D. All of these
Answer : C

Question. A solid object has two different faces i.e.,

Which of the following can be the required solid?

Answer : C

Question. Identify the numbers.
• 491 rounded off to nearest hundreds less than 9326 rounded off to nearest hundreds.
• 491 rounded off to nearest tens less than 9326 rounded off to nearest tens.
A. 8900 and 8830
B. 8840 and 8820
C. 8800 and 8840
D. 9000 and 8830
Answer : C

Question. Which of the following statements is not true for a rectangle?
A. All sides are equal.
B. All angles are right angles.
C. Opposite sides are parallel.
D. All angles are equal.
Answer : A

Question. Which of the following shows the maximum rise in the temperature?
A. 0°C to 10°C
B. – 4°C to 8°C
C. –15°C to –8°C
D. –7°C to 0°C
Answer : B

Question. State (T) for true or (F) for false.
(i) A point has a length and width.
(ii) Ray has infinite length.
(iii) There is one and only one line passing through two points.
(iv) A line has no end point.
    (i)    (ii)  (iii)  (iv)
A. F     T     T     T
B. F     F     T     T
C. T     T     T     T
D. T     F     F     F
Answer : A

Question. Which of the following is not equal to 36 × 14 + 309?
A. 14 × 36 + 309
B. 309 + 14 × 36
C. 309 + 36 × 14
D. 36 × 309 + 14
Answer : D

Question. Two regular hexagons of perimeter 30 cm each are joined as shown in the figure. The perimeter of the new figure is ..................

A. 65 cm
B. 60 cm
C. 55 cm
D. 50 cm
Answer : D

Question. What is the smallest number of squares that must be shaded so that the line AB becomes the line of symmetry?

A. 4
B. 3
C. 5
D. 7
Answer : A

Question. Which of the following statements is INCORRECT ?
A. Line AB¯ is the same as line BA¯.
B. Line segment AB is the same as the line segment BA¯ .
C. Ray AB¯ is the same as ray BA¯.
D. AB¯ perpendicular to CD¯ is same as CD¯ perpendicular to AB¯.
Answer : C

Question. Which of the following options is correct?

P : Shaded part of Model-1
Q : Shaded part of Model-2
A. P = Q
B. P < Q
C. P > Q
D. Can't be determined
Answer : C

Question. Vinay went to a craft fair where he spent a total of ₹ 16. He spent ₹ 6 on admission and went to 8 tables. He spent the same amount of money (m) at each table. The following expression can be used to find how much money he spent at each table.
16 = 6 + 8 m
How much money did Vinay spend at each table ?
A. ₹ 0.50
B. ₹ 0.80
C. ₹ 1.25
D. ₹ 2.00
Answer : C

Direction (a - b) : The graph shows the types of programmes, some children joined during the June holidays

Question a. What fraction of the total number of children joined the Painting programme?
A. 18
B. 3/8
C. 5/13
D. 8/13
Answer : C

Question b. The difference between the number of children who joined Art and Gardening programme altogether and Drama and Painting programme altogether is .................
A. 15
B. 20
C. 16
D. 18
Answer : D

Question. Which of the following number line correctly represents (–4) + (4)?

Answer : D

Question. By splitting the given figure into rectangles, find the area.

A. 40.75 cm²
B. 20.25 cm²
C. 15.25 cm²
D. 23.75 cm
Answer : B

EVERYDAY MATHeMATICS

Question. A box of medicine contains 2,00,000 tablets each weighing 20 mg. What is the total weight of all the tablets in the box in both grams and kilograms?
A. 4000 g, 4 kg
B. 7000 g, 7 kg
C. 5000 g, 5 kg
D. 9000 g, 9 kg
Answer : A

Question. A vendor supplies 105 litres of milk to a hotel in the morning and 85 litres of milk in the evening. If the milk costs ₹20 per litre, how much money is due to the vendor per day?
A. ₹3500
B. ₹4200
C. ₹3950
D. ₹3800
Answer : D

Question. Meera purchases two bags of fertilisers of weights 70 kg and 55 kg. Find the maximum capacity of weight which can measure the weight of the fertilisers exact number of times.
A. 5 kg
B. 2 kg
C. 11 kg
D. 7 kg
Answer : A

Question. The temperature at 3:00 p.m. was 65°F. By 9:00 p.m, the temperature had decreased by 27°F.
Which integer best represents the temperature change?
A. –38
B. –27
C. 27
D. 38
Answer : B

Question. A piece of string is 38 cm long. What will be the length of each side, if the string is used to form a square?
A. 19 cm
B. 9.5 cm
C. 7 cm
D. 152 cm
Answer : B

Question. German silver is a mixture of copper, nickel and zinc. 34 of the total mass is copper and 3/8 of the remainder is nickel. What mass of German silver will contain 8(1/2)kg of zinc?
A. 45(2/5)kg
B. 50(1/5)kg
C. 68 kg
D. 54(2/5)kg
Answer : D

Question. When teams of same size are formed from three groups of 512, 430 and 489 students separately, 8, 10 and 9 students respectively are left out. What could be the largest size of the team?
A. 6
B. 12
C. 18
D. 60
Answer : B

Question. The total weight of brinjal, ladyfinger and potato is 48.057 kg. If brinjal and ladyfinger weighs 5.35 kg and 24.52 kg, respectively. Find the weight of potato.
A. 18.187 kg
B. 25 kg
C. 20 kg
D. 17.127 kg
Answer : A

Question. A floor is 3.5 m long and 3 m wide. A square carpet of sides 2.5 m is laid on the floor. The area of the floor that is not carpeted is
A. 4.25 sq. m
B. 16.75 sq. m
C. 3 sq. m
D. 6.75 sq. m
Answer : A

Question. The ratio of father’s age to that of his son is equal to the ratio of the mother’s age to that of her daughter. If the ages of mother, son and daughter be 48, 24 and 18 years respectively, then the age of the father is
A. 54 years
B. 60 years
C. 64 years
D. 50 years
Answer : C

ACHIEVERS SECTION

Question. By splitting the given figure into rectangles, find the area.

A. 22 cm²
B. 25 cm²
C. 25.25 cm²
D. 29 cm²
Answer : B

Question. The length and breadth of a rectangular sheet of paper are 20 cm and 10 cm, respectively as shown in Figure 1. A rectangular piece in Figure 2 is cut from the corner of the sheet as shown below. Which of the following statements is correct for the remaining sheet?

A. Perimeter remains same but area changes.
B. Area remains the same but perimeter changes.
C. Both area and perimeter changed.
D. Both area and perimeter remains the same.
Answer : A

Question. At a park, Mohit intends to hire a buggy to help him get around more easily. The table shows the rates for hiring a buggy.

Mohit intends to hire the buggy from 8.15 a.m. to 2.30 p.m. How much does he have to pay up front?
A. ₹ 326.95
B. ₹ 327
C. ₹ 330.30
D. ₹ 320.35
Answer : D

Question. Below shows a solid.

Answer : B

Question. Fill in the blanks.
(i) P integers are there between –8 and –1.
(ii) Every integer less than zero is Q .
(iii) The successor of predecessor of –30 is R .
(iv) |(–11) + (–15)| S (11) + (15)
(v) The additive inverse of zero is T .
     P           Q            R    S   T
A. 6      negative     –30   =   0
B. 5      positive      –25   >   0
C. 6      negative     –30   >   1
D. –5    positive      –28   =   1
Answer : A