IMO › Class 7 › Full Syllabus Test

Full Syllabus Mock Test

00:00
Q1 Achievers Section
The sum of a number and its double is 27. What is the number?
x + 2x = 27, so 3x = 27 and x = 9.
Q2 Logical Reasoning
Which is a rational number between 1 and 2?
3/2 = 1.5 lies between 1 and 2.
Q3 Achievers Section
An item with CP ₹500 is sold at a 20% profit. What is the SP?
Profit = 20% of 500 = ₹100, so SP = ₹600.
Q4 Achievers Section
Find the area of a circle of radius 14 cm (π = 22/7).
(22/7) × 14 × 14 = 616 sq cm.
Q5 Everyday Mathematics
A lift starts 2 floors below ground (−2) and goes up 7 floors. Which floor is it on?
−2 + 7 = 5.
Q6 Logical Reasoning
a⁻ⁿ equals ___ ?
A negative exponent gives the reciprocal: a⁻ⁿ = 1/aⁿ.
Q7 Everyday Mathematics
A 5 m ladder leans on a wall with its base 3 m away. How high up the wall does it reach?
√(25 − 9) = √16 = 4 m (a 3-4-5 triangle).
Q8 Logical Reasoning
A double bar graph compares ___ ?
It compares two sets of data.
Q9 Everyday Mathematics
What is 18% GST on ₹200?
18% of 200 = ₹36.
Q10 Everyday Mathematics
Four pens cost ₹48. What is the cost of one pen?
4p = 48, so p = ₹12.
Q11 Everyday Mathematics
A circular garden has radius 7 m. How much fencing (circumference) is needed (π = 22/7)?
2 × (22/7) × 7 = 44 m.
Q12 Everyday Mathematics
A ₹800 item has a 10% discount. How much do you pay?
10% of 800 = ₹80 off, so pay ₹720.
Q13 Mathematical Reasoning
Area of a circle of radius 7 cm (π = 22/7)?
(22/7) × 49 = 154 sq cm.
Q14 Mathematical Reasoning
What is the reciprocal of 7?
The reciprocal of 7 is 1/7.
Q15 Logical Reasoning
Write '7 more than x' as an expression.
7 more than x is x + 7.
Q16 Achievers Section
What is the additive inverse of −5/7?
The additive inverse of −5/7 is 5/7.
Q17 Mathematical Reasoning
What is the supplement of 125°?
180 − 125 = 55°.
Q18 Everyday Mathematics
A train covers 300 km in 5 hours. What is its speed?
300 ÷ 5 = 60 km/hr.
Q19 Logical Reasoning
What is ½ ÷ ½?
Any non-zero number divided by itself is 1.
Q20 Mathematical Reasoning
How many lines of symmetry does a rectangle have?
A rectangle has 2 lines of symmetry.
Q21 Logical Reasoning
Speed = distance ÷ ___ ?
Speed = distance ÷ time.
Q22 Mathematical Reasoning
What is the range of 12, 5, 8, 20?
Range = 20 − 5 = 15.
Q23 Mathematical Reasoning
How many lines of symmetry does a rectangle have?
A rectangle has 2 lines of symmetry.
Q24 Mathematical Reasoning
A car covers 180 km in 3 hours. What is its speed?
180 ÷ 3 = 60 km/hr.
Q25 Mathematical Reasoning
What is the order of rotational symmetry of a square?
A square matches four times in a full turn.
Q26 Logical Reasoning
Area of a triangle = ½ × base × ___ ?
Area of a triangle = ½ × base × height.
Q27 Logical Reasoning
Average speed = total distance ÷ total ___ ?
Average speed = total distance ÷ total time.
Q28 Mathematical Reasoning
Three equal sides make two triangles congruent by ___ ?
Three sides — SSS.
Q29 Logical Reasoning
A cube has how many edges?
A cube has 12 edges.
Q30 Logical Reasoning
In a 3×3 magic square using 1 to 9, each line sums to ___ ?
The magic sum is 15.
Q31 Logical Reasoning
Vertically opposite angles are always ___ ?
Vertically opposite angles are equal.
Q32 Logical Reasoning
100% of a number is ___ ?
100% means all of it — the whole number.
Q33 Everyday Mathematics
Write 45000 in standard form.
45000 = 4.5 × 10⁴.
Q34 Mathematical Reasoning
A right triangle has legs 6 and 8. What is the hypotenuse?
√(36 + 64) = √100 = 10.
Q35 Mathematical Reasoning
The front view of a cube is a ___ ?
A cube's front view is a square.
Q36 Logical Reasoning
Write ¼ as a percentage.
¼ × 100 = 25%.
Q37 Everyday Mathematics
How long does a 300 km trip take at 50 km/hr?
300 ÷ 50 = 6 hours.
Q38 Logical Reasoning
Which is the odd one out (three are 3D shapes)?
A square is a 2D shape; the others are 3D.
Q39 Mathematical Reasoning
What is the range of 4, 9, 2, 7?
Range = 9 − 2 = 7.
Q40 Everyday Mathematics
What is 18% GST on ₹100?
18% of ₹100 = ₹18.
Q41 Mathematical Reasoning
What is the reciprocal of 8?
The reciprocal of 8 is ⅛.
Q42 Mathematical Reasoning
The angle of rotation for a shape of order 6 is ___ ?
360° ÷ 6 = 60°.
Q43 Mathematical Reasoning
Solve: 4x = 36.
x = 36 ÷ 4 = 9.
Q44 Mathematical Reasoning
In △ABC ≅ △PQR, angle B equals angle ___ ?
B matches Q, so angle B = angle Q.
Q45 Mathematical Reasoning
Write −6/9 in standard form.
Divide both by 3: −6/9 = −2/3.
Q46 Achievers Section
What is the amount on ₹2000 at 10% simple interest for 2 years?
SI = (2000 × 10 × 2) ÷ 100 = ₹400; amount = ₹2400.
Q47 Logical Reasoning
Which is the odd one out (three are equal to ¾)?
4/6 = ⅔, not ¾.
Q48 Mathematical Reasoning
What is 10⁴?
10⁴ = 10,000.
Q49 Mathematical Reasoning
Simplify 5² × 5³ as a power of 5.
Add the exponents: 5²⁺³ = 5⁵.
Q50 Mathematical Reasoning
What is ¾ ÷ ½?
¾ × 2/1 = 6/4 = 1½.
Try again ↻