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Full Syllabus Mock Test

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Q1 Logical Reasoning
Complete the analogy: triangle : 3 :: pentagon : ___ ?
A pentagon has 5 sides.
Q2 Everyday Mathematics
A wheel with 8 equal spokes has rotational symmetry of order ___ ?
8 equal spokes give order 8.
Q3 Logical Reasoning
Which is greater, −2/3 or −3/4?
−2/3 is closer to 0, so it is greater.
Q4 Logical Reasoning
The exterior angle of a triangle equals the sum of the two opposite ___ ?
Exterior angle = sum of the two opposite interior angles.
Q5 Logical Reasoning
What is the coefficient of x in 7x?
The number multiplying x is 7.
Q6 Mathematical Reasoning
Which are like terms?
2x and 5x share the variable part x.
Q7 Logical Reasoning
3, 4, 5 is a Pythagorean triple. So is 6, 8, ___ ?
6² + 8² = 36 + 64 = 100 = 10².
Q8 Mathematical Reasoning
What is −7 + 12 − 5?
−7 + 12 = 5, then 5 − 5 = 0.
Q9 Logical Reasoning
RHS applies to which kind of triangles?
RHS applies to right-angled triangles.
Q10 Everyday Mathematics
A circular garden has radius 7 m. How much fencing (circumference) is needed (π = 22/7)?
2 × (22/7) × 7 = 44 m.
Q11 Mathematical Reasoning
How many medians does a triangle have?
A triangle has 3 medians.
Q12 Mathematical Reasoning
What is ½ + (−¼)?
2/4 − 1/4 = ¼.
Q13 Everyday Mathematics
A dice net is made of 6 ___ ?
A cube (dice) net is 6 squares.
Q14 Everyday Mathematics
How long does a 300 km trip take at 50 km/hr?
300 ÷ 50 = 6 hours.
Q15 Everyday Mathematics
A number increased by 12 gives 30. What is the number?
x + 12 = 30, so x = 18.
Q16 Logical Reasoning
Vertically opposite angles are always ___ ?
Vertically opposite angles are equal.
Q17 Mathematical Reasoning
What is 10% of 250?
(10/100) × 250 = 25.
Q18 Logical Reasoning
Simplify: 2x + 3x.
2x + 3x = 5x.
Q19 Everyday Mathematics
Riya walks 4 km North, then 3 km further North. How far North is she from the start?
4 + 3 = 7 km North.
Q20 Mathematical Reasoning
What is the median of 3, 5, 7, 9, 11?
The middle value is 7.
Q21 Mathematical Reasoning
What is the probability of getting a head on a fair coin?
1 head out of 2 outcomes, so ½.
Q22 Mathematical Reasoning
What is 20% of 150?
(20/100) × 150 = 30.
Q23 Mathematical Reasoning
Two angles of a triangle are 50° and 60°. What is the third?
180 − 50 − 60 = 70°.
Q24 Mathematical Reasoning
The angle of rotation for a shape of order 4 is ___ ?
360° ÷ 4 = 90°.
Q25 Mathematical Reasoning
A right triangle has legs 5 and 12. What is the hypotenuse?
√(25 + 144) = √169 = 13.
Q26 Everyday Mathematics
Solve: 2x + 4 = 20.
2x = 16, so x = 8.
Q27 Logical Reasoning
Which letter has a vertical line of symmetry?
The letter A has a vertical line of symmetry.
Q28 Logical Reasoning
Which is the odd one out (three are 3D shapes)?
A square is a 2D shape; the others are 3D.
Q29 Logical Reasoning
Which property does a + b = b + a show?
Changing the order without changing the result is the commutative property.
Q30 Mathematical Reasoning
What is 2³ × 2²?
2⁵ = 32.
Q31 Mathematical Reasoning
What is (−⅖) ÷ ⅕?
(−⅖) × 5/1 = −10/5 = −2.
Q32 Mathematical Reasoning
25% of a number is 75. What is the number?
75 × (100 ÷ 25) = 300.
Q33 Achievers Section
A man drives 60 km at 30 km/hr, then 60 km at 60 km/hr. What is his average speed?
Times are 2 h and 1 h; total 120 km in 3 h, so 120 ÷ 3 = 40 km/hr.
Q34 Logical Reasoning
Area of a circle = π × ___ ?
Area = π × radius².
Q35 Mathematical Reasoning
What is the top view of a ball (sphere)?
From any direction a sphere looks like a circle.
Q36 Achievers Section
A right triangle has legs 9 and 12. What is the hypotenuse?
√(81 + 144) = √225 = 15.
Q37 Achievers Section
If △ABC ≅ △DEF and AB = 5 cm, then DE = ___ ?
Corresponding sides are equal, so DE = 5 cm.
Q38 Mathematical Reasoning
Circumference of a circle of diameter 14 cm (π = 22/7)?
π × d = (22/7) × 14 = 44 cm.
Q39 Mathematical Reasoning
The probability of an impossible event is ___ ?
An impossible event has probability 0.
Q40 Mathematical Reasoning
What is the supplement of 90°?
180 − 90 = 90°.
Q41 Achievers Section
What is the amount on ₹2000 at 10% compound interest for 2 years?
Year 1: 2200, year 2: 2420.
Q42 Mathematical Reasoning
What is (−9) − (−4)?
−9 − (−4) = −9 + 4 = −5.
Q43 Logical Reasoning
Which integer is greater, −3 or −8?
−3 is to the right of −8, so it is greater.
Q44 Everyday Mathematics
The perimeter of a square of side x is 4x. If x = 5, what is the perimeter?
4 × 5 = 20.
Q45 Everyday Mathematics
A cyclist covers 36 km in 3 hours. What is the speed?
36 ÷ 3 = 12 km/hr.
Q46 Mathematical Reasoning
What is the probability of rolling an even number on a fair die?
Even numbers 2, 4, 6 give 3/6 = ½.
Q47 Logical Reasoning
The angle of rotation equals 360° divided by the ___ ?
Angle of rotation = 360° ÷ order.
Q48 Everyday Mathematics
Looking straight down at a tin (cylinder), it appears as a ___ ?
The top view of a cylinder is a circle.
Q49 Achievers Section
What is the order of rotational symmetry of a regular hexagon?
A regular hexagon has order 6.
Q50 Logical Reasoning
Find the next number: 1, 1, 2, 3, 5, ___ ?
Each term is the sum of the two before: 3 + 5 = 8.
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