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Full Syllabus Mock Test

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Q1 Achievers Section
What is 5 − 1.35 − 1.65?
1.35 + 1.65 = 3.00, and 5 − 3 = 2.0.
Q2 Everyday Mathematics
A pen costs ₹x. If x = 20, what do 5 pens cost?
5x = 5 × 20 = ₹100.
Q3 Achievers Section
How many lines of symmetry does a regular hexagon have?
A regular hexagon has 6 lines of symmetry.
Q4 Everyday Mathematics
At 3 o'clock the hands of a clock make a ___ angle.
At 3:00 the hands are 90° apart — a right angle.
Q5 Logical Reasoning
Which is the greatest decimal?
0.99 is the greatest.
Q6 Everyday Mathematics
On a clock face, which number is directly opposite 12?
6 is directly opposite 12.
Q7 Everyday Mathematics
⅗ of the 40 students in a class passed a test. How many passed?
⅗ × 40 = 24 students.
Q8 Logical Reasoning
Facing East, you turn right. Which way do you now face?
Turning right from East faces South.
Q9 Mathematical Reasoning
What is (−18) ÷ 6?
Unlike signs give a negative: −3.
Q10 Logical Reasoning
Which is the largest number?
98,765 is the greatest of these.
Q11 Mathematical Reasoning
If y = 10, what is y − 4?
10 − 4 = 6.
Q12 Mathematical Reasoning
How many vertices does a triangle have?
A triangle has 3 vertices.
Q13 Achievers Section
On a map 1 cm represents 50 km. What distance does 4 cm represent?
4 × 50 = 200 km.
Q14 Mathematical Reasoning
What is the place value of 8 in 8,34,56,789?
8 is in the Crores place, so its value is 8,00,00,000.
Q15 Mathematical Reasoning
What is the place value of 5 in 4,56,789?
5 is in the Ten Thousands place, so its value is 50,000.
Q16 Logical Reasoning
Which is the odd one out: 11, 13, 15, 17?
15 = 3 × 5 is composite; the others are prime.
Q17 Logical Reasoning
Your father's father is your ___ ?
Your father's father is your grandfather.
Q18 Logical Reasoning
Your father's wife is your ___ ?
Your father's wife is your mother.
Q19 Logical Reasoning
Which of these is a regular polygon (all sides equal)?
A square has all sides and angles equal, so it is regular.
Q20 Mathematical Reasoning
How many lines of symmetry does a rectangle have?
A rectangle has 2 lines of symmetry.
Q21 Logical Reasoning
Which is the odd one out (three are quadrilaterals)?
A triangle has 3 sides; the others are quadrilaterals.
Q22 Logical Reasoning
Complete the series: AZ, BY, CX, ___ ?
First letters go A, B, C, D and second letters go Z, Y, X, W, giving DW.
Q23 Mathematical Reasoning
An angle of 30° is ___ ?
Less than 90° is acute.
Q24 Everyday Mathematics
A student scores 80, 90 and 100 in three tests. What is the mean score?
(80 + 90 + 100) ÷ 3 = 90.
Q25 Logical Reasoning
Using the distributive property, 5 × (20 + 1) = ?
5 × 20 + 5 × 1 = 100 + 5 = 105.
Q26 Mathematical Reasoning
Through what angle does a square turn to look the same?
A square has rotational symmetry every 90°.
Q27 Logical Reasoning
What is 0.1 × 10?
Move the point one place right: 1.
Q28 Achievers Section
How many edges does a cylinder have?
A cylinder has 2 edges (the two circular rims).
Q29 Mathematical Reasoning
A circle has a radius of 7 cm. What is its diameter?
Diameter = 2 × 7 = 14 cm.
Q30 Everyday Mathematics
A recipe uses 2 cups of flour to 1 cup of sugar. For 6 cups of flour, how much sugar?
The ratio 2 : 1 means 6 cups flour needs 3 cups sugar.
Q31 Logical Reasoning
In a Venn diagram, students who play both cricket and football are shown by the ___ ?
The overlap shows things belonging to both groups.
Q32 Achievers Section
What is 2½ × 2?
2½ = 5/2, and 5/2 × 2 = 5.
Q33 Mathematical Reasoning
How many endpoints does a line segment have?
A line segment has two endpoints.
Q34 Everyday Mathematics
A football is the shape of a ___ ?
A football is a sphere.
Q35 Mathematical Reasoning
How many vertices does a cuboid have?
A cuboid has 8 vertices.
Q36 Mathematical Reasoning
What is the LCM of 6 and 9?
The smallest common multiple of 6 and 9 is 18.
Q37 Mathematical Reasoning
What is the area of a right triangle with base 8 cm and height 5 cm?
½ × 8 × 5 = 20 sq cm.
Q38 Everyday Mathematics
How many lines of symmetry does the letter O have?
A circular O has many lines of symmetry.
Q39 Mathematical Reasoning
What is the perimeter of an equilateral triangle of side 12 cm?
3 × 12 = 36 cm.
Q40 Mathematical Reasoning
A quadrilateral with all sides equal and 4 right angles is a ___ ?
Equal sides plus right angles make a square.
Q41 Everyday Mathematics
A pen costs ₹12.50. What do 4 pens cost?
12.50 × 4 = ₹50.
Q42 Mathematical Reasoning
10 lakh is the same as ___ ?
10 lakh = 1 million.
Q43 Mathematical Reasoning
Using the distributive property, 6 × (5 + 2) = ?
6 × 5 + 6 × 2 = 30 + 12 = 42.
Q44 Mathematical Reasoning
₹20 is divided in the ratio 2 : 3. What is the larger share?
Parts = 5; ₹20 ÷ 5 = ₹4, so shares are ₹8 and ₹12.
Q45 Logical Reasoning
Find the next number: 3, 6, 9, 12, ___ ?
The rule is +3, so 12 + 3 = 15.
Q46 Mathematical Reasoning
What is the predecessor of 1000?
1000 − 1 = 999.
Q47 Logical Reasoning
Which letter has a vertical line of symmetry?
The letter A has a vertical line of symmetry.
Q48 Mathematical Reasoning
Simplify: 100 − (40 + 30) = ?
Brackets first: 100 − 70 = 30.
Q49 Everyday Mathematics
A room floor is 6 m by 5 m. How much carpet is needed?
Area = 6 × 5 = 30 sq m.
Q50 Logical Reasoning
Which is the odd one out (three are prime numbers)?
4 = 2 × 2 is composite; the others are prime.
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