IMOClass 5 › Full Syllabus Test

Full Syllabus Mock Test

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Q1 Mathematical Reasoning
What number is CM?
C before M means 1000 − 100 = 900.
Q2 Logical Reasoning
Getting heads when you toss a fair coin is ___ to getting tails.
Heads and tails are equally likely on a fair coin.
Q3 Logical Reasoning
Tenths, hundredths, ___ : what comes next?
The third decimal place is thousandths.
Q4 Mathematical Reasoning
The temperature is 30°C and falls by 12°C. What is it now?
30 − 12 = 18°C.
Q5 Mathematical Reasoning
What is the mean of 10, 20, 30, 40?
(10 + 20 + 30 + 40) ÷ 4 = 100 ÷ 4 = 25.
Q6 Mathematical Reasoning
In 5.678, what is the value of the digit 6?
6 is in the tenths place, so it stands for 0.6.
Q7 Mathematical Reasoning
What is the mean of 4, 6, 8?
(4 + 6 + 8) ÷ 3 = 18 ÷ 3 = 6.
Q8 Mathematical Reasoning
What is 36 ÷ 100?
Move the point two places left: 0.36.
Q9 Everyday Mathematics
The temperature is 32°C in the day and 19°C at night. By how much did it fall?
32 − 19 = 13°C.
Q10 Logical Reasoning
A triangle has 3 sides; a quadrilateral has ___ ?
A quadrilateral has 4 sides.
Q11 Logical Reasoning
Difference in temperature = higher − ___ ?
Difference = higher temperature − lower temperature.
Q12 Mathematical Reasoning
What is the difference between 45°C and 19°C?
45 − 19 = 26°C.
Q13 Everyday Mathematics
A student scores 36 out of 40. What percentage is that?
(36/40) × 100 = 90%.
Q14 Logical Reasoning
Which is the odd one out (three equal 50%)?
¼ = 25%, not 50%; the other three equal 50%.
Q15 Logical Reasoning
If 1 pen costs ₹12, what do 6 pens cost?
6 × 12 = ₹72.
Q16 Logical Reasoning
Speed = distance ÷ ___ ?
Speed = distance ÷ time.
Q17 Logical Reasoning
Temperature is measured in ___ ?
Temperature is measured in degrees Celsius (°C).
Q18 Achievers Section
2 kg 500 g of sugar is shared into 5 equal packets. How much is in each?
2 kg 500 g = 2500 g; 2500 ÷ 5 = 500 g.
Q19 Everyday Mathematics
4 kg of apples cost ₹240. What do 6 kg cost?
1 kg = ₹60, so 6 kg = ₹360.
Q20 Mathematical Reasoning
Which fraction is bigger, ⅔ or ¾?
As 8/12 and 9/12, ¾ is bigger.
Q21 Mathematical Reasoning
The distance all the way around a circle is the ___ ?
The distance around a circle is its circumference.
Q22 Achievers Section
What is 2.345 + 1.655?
2.345 + 1.655 = 4.000.
Q23 Achievers Section
What is the median of 2, 4, 4, 6, 9?
In order, the middle value of five numbers is the third, which is 4.
Q24 Everyday Mathematics
A student scores 18 out of 20. What percentage is that?
(18/20) × 100 = 90%.
Q25 Everyday Mathematics
Ice melts at ___ ?
Ice melts (water freezes) at 0°C.
Q26 Achievers Section
What is the smallest 8-digit number minus the largest 7-digit number?
1,00,00,000 − 99,99,999 = 1.
Q27 Everyday Mathematics
A car travels at 40 km/hr for 4 hours. How far does it go?
40 × 4 = 160 km.
Q28 Logical Reasoning
What is the perimeter of a square of side 5 cm?
4 × 5 = 20 cm.
Q29 Logical Reasoning
The HCF of two numbers is the product of their ___ prime factors.
HCF uses the common prime factors.
Q30 Mathematical Reasoning
What is the place value of 8 in 8,12,34,567?
8 is in the Crores place, so its value is 8,00,00,000.
Q31 Mathematical Reasoning
What is the area of a triangle with base 8 cm and height 5 cm?
½ × 8 × 5 = 20 sq cm.
Q32 Logical Reasoning
Which fraction is the largest?
As 40/60, 45/60, 48/60, 30/60, the largest is ⅘.
Q33 Achievers Section
What is the mean of 12, 15, 18, 15?
(12 + 15 + 18 + 15) ÷ 4 = 60 ÷ 4 = 15.
Q34 Mathematical Reasoning
How many equal sides does a square have?
A square has 4 equal sides.
Q35 Mathematical Reasoning
What is the HCF of 8 and 12?
8 = 2³ and 12 = 2² × 3; common is 2² = 4.
Q36 Logical Reasoning
An angle of 250° is a ___ angle.
Between 180° and 360° is a reflex angle.
Q37 Everyday Mathematics
A factory makes 1,25,000 units each month. How many in 4 months?
1,25,000 × 4 = 5,00,000.
Q38 Everyday Mathematics
A room floor is 5 m by 4 m. What is its area?
5 × 4 = 20 sq m.
Q39 Mathematical Reasoning
Subtract: 5,00,000 − 2,35,000 = ?
5,00,000 − 2,35,000 = 2,65,000.
Q40 Logical Reasoning
Simple interest = P × R × T ÷ ___ ?
SI = (P × R × T) ÷ 100.
Q41 Logical Reasoning
1 km = ___ cm?
1 km = 1000 m = 1,00,000 cm.
Q42 Mathematical Reasoning
Find the SI on ₹2000 at 10% for 1 year.
SI = (2000 × 10 × 1) ÷ 100 = ₹200.
Q43 Mathematical Reasoning
What is the area of a parallelogram with base 7 cm and height 4 cm?
7 × 4 = 28 sq cm.
Q44 Mathematical Reasoning
Euler's formula is F + V − E = ___ ?
For a solid, Faces + Vertices − Edges = 2.
Q45 Logical Reasoning
Which is the greatest decimal?
0.88 is the greatest.
Q46 Mathematical Reasoning
A double bar graph is used to compare ___ ?
It compares two sets of data side by side.
Q47 Everyday Mathematics
A pen is 0.25 m long. Four pens placed end to end measure how long?
0.25 × 4 = 1.0 m.
Q48 Mathematical Reasoning
What is the LCM of 6 and 8?
6 = 2 × 3 and 8 = 2³; LCM = 2³ × 3 = 24.
Q49 Mathematical Reasoning
What is 1½ + 2¼?
1 2/4 + 2 1/4 = 3 3/4 = 3¾.
Q50 Everyday Mathematics
A train travels at 60 km/hr for 3 hours. How far does it go?
60 × 3 = 180 km.
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