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Full Syllabus Mock Test

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Q1 Everyday Mathematics
The temperature is −5°C and rises by 12°C. What is the new temperature?
−5 + 12 = 7°C.
Q2 Everyday Mathematics
The perimeter of a square of side x is 4x. If x = 5, what is the perimeter?
4 × 5 = 20.
Q3 Logical Reasoning
Range = highest value − ___ ?
Range = highest − lowest.
Q4 Logical Reasoning
RHS applies to which kind of triangles?
RHS applies to right-angled triangles.
Q5 Mathematical Reasoning
A right triangle has legs 5 and 12. What is the hypotenuse?
√(25 + 144) = √169 = 13.
Q6 Logical Reasoning
The angle of rotation equals 360° divided by the ___ ?
Angle of rotation = 360° ÷ order.
Q7 Mathematical Reasoning
What is the area of a triangle with base 12 cm and height 5 cm?
½ × 12 × 5 = 30 sq cm.
Q8 Everyday Mathematics
What is 18% GST on ₹200?
18% of 200 = ₹36.
Q9 Mathematical Reasoning
What is the top view of a ball (sphere)?
From any direction a sphere looks like a circle.
Q10 Achievers Section
If △ABC ≅ △DEF and AB = 5 cm, then DE = ___ ?
Corresponding sides are equal, so DE = 5 cm.
Q11 Mathematical Reasoning
What is the order of rotational symmetry of a rectangle?
A rectangle matches twice in a full turn, so order 2.
Q12 Everyday Mathematics
A dice net is made of 6 ___ ?
A cube (dice) net is 6 squares.
Q13 Mathematical Reasoning
Write −6/9 in standard form.
Divide both by 3: −6/9 = −2/3.
Q14 Everyday Mathematics
A jug has ½ L and ¾ L is added. How much is there now?
½ + ¾ = 2/4 + 3/4 = 5/4 = 1¼ L.
Q15 Achievers Section
An angle is equal to its own complement. What is the angle?
If x = 90 − x, then 2x = 90, so x = 45°.
Q16 Logical Reasoning
If each letter moves forward by 2, the code for CAT is ___ ?
C→E, A→C, T→V gives ECV.
Q17 Mathematical Reasoning
What is 7.2 ÷ 0.8?
Multiply both by 10: 72 ÷ 8 = 9.
Q18 Achievers Section
The angles of a triangle are in the ratio 1 : 2 : 3. What is the largest angle?
Parts = 6; 180 ÷ 6 = 30, so angles are 30°, 60°, 90° — the largest is 90°.
Q19 Mathematical Reasoning
Expand: 3(2x + 1).
3 × 2x + 3 × 1 = 6x + 3.
Q20 Mathematical Reasoning
What is the CI on ₹2000 at 10% for 1 year?
For 1 year, CI = SI = (2000 × 10 × 1) ÷ 100 = ₹200.
Q21 Mathematical Reasoning
CP = ₹100, SP = ₹130. What is the profit%?
Profit = ₹30; profit% = (30 ÷ 100) × 100 = 30%.
Q22 Mathematical Reasoning
What is the reciprocal of 8?
The reciprocal of 8 is ⅛.
Q23 Everyday Mathematics
A recipe needs ⅔ cup of sugar per batch. How much for 3 batches?
⅔ × 3 = 2 cups.
Q24 Logical Reasoning
Complete the analogy: triangle : 3 :: pentagon : ___ ?
A pentagon has 5 sides.
Q25 Logical Reasoning
The exterior angle of a triangle equals the sum of the two opposite ___ ?
Exterior angle = sum of the two opposite interior angles.
Q26 Logical Reasoning
In a 3×3 magic square using 1 to 9, each line sums to ___ ?
The magic sum is 15.
Q27 Everyday Mathematics
Can sticks of 4 cm, 4 cm and 10 cm form a triangle?
4 + 4 = 8 is not greater than 10, so no.
Q28 Mathematical Reasoning
Interior angles 50° and 60° give an exterior angle of ___ ?
50 + 60 = 110°.
Q29 Logical Reasoning
What is ½ ÷ ½?
Any non-zero number divided by itself is 1.
Q30 Achievers Section
If x = 4, what is the value of x² + 2x?
16 + 8 = 24.
Q31 Mathematical Reasoning
Two angles of a triangle are 50° and 60°. What is the third?
180 − 50 − 60 = 70°.
Q32 Logical Reasoning
A double bar graph compares ___ ?
It compares two sets of data.
Q33 Achievers Section
Find the next number: 3, 6, 11, 18, ___ ?
Differences 3, 5, 7, then 9, so 18 + 9 = 27.
Q34 Everyday Mathematics
A wheel with 8 equal spokes has rotational symmetry of order ___ ?
8 equal spokes give order 8.
Q35 Logical Reasoning
How many lines of symmetry does a square have?
A square has 4 lines of symmetry.
Q36 Mathematical Reasoning
Which is greater, ⅗ or ⅔?
As 9/15 and 10/15, ⅔ is greater.
Q37 Mathematical Reasoning
What is 2³ × 2²?
2⁵ = 32.
Q38 Mathematical Reasoning
Two angles of a triangle are 90° and 30°. What is the third?
180 − 90 − 30 = 60°.
Q39 Mathematical Reasoning
What is the area of a parallelogram with base 7 cm and height 4 cm?
7 × 4 = 28 sq cm.
Q40 Logical Reasoning
Congruent figures have the same shape and ___ ?
Congruent figures have the same shape and size.
Q41 Logical Reasoning
3, 4, 5 is a Pythagorean triple. So is 6, 8, ___ ?
6² + 8² = 36 + 64 = 100 = 10².
Q42 Everyday Mathematics
A butterfly has a ___ line of symmetry.
A butterfly has a vertical line of symmetry.
Q43 Everyday Mathematics
A cyclist covers 36 km in 3 hours. What is the speed?
36 ÷ 3 = 12 km/hr.
Q44 Logical Reasoning
The probability of an impossible event is ___ ?
An impossible event has probability 0.
Q45 Logical Reasoning
a⁻ⁿ equals ___ ?
A negative exponent gives the reciprocal: a⁻ⁿ = 1/aⁿ.
Q46 Mathematical Reasoning
What is the order of rotational symmetry of a square?
A square matches four times in a full turn.
Q47 Mathematical Reasoning
Two angles and the included side equal — which criterion?
Two angles and the included side is ASA.
Q48 Mathematical Reasoning
Simplify: 6a + 4a.
6a + 4a = 10a.
Q49 Mathematical Reasoning
Solve: 5x = 45.
x = 45 ÷ 5 = 9.
Q50 Logical Reasoning
The additive inverse of −9 is ___ ?
−9 + 9 = 0, so the additive inverse is 9.
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