All questions are compulsory.
Q1: How many lines of symmetry does a regular octagon have? (1 mark)
(a) 3
(b) 4
(c) 8
(d) 6
Q2: The perimeter of a rectangle is 24 cm. If the length is 8 cm, what is the width? (1 mark)
(a) 5 cm
(b) 8 cm
(c) 4 cm
(d) 6 cm
Q3: In the fraction 7/10, what is 7 called? (1 mark)
(a) Denominator
(b) Numerator
(c) Quotient
(d) Whole number
Q4: Convert the improper fraction 13/5 into a mixed fraction. (1 mark)
(a) 2 3/5
(b) 3 2/5
(c) 2 1/5
(d) 2 2/5
Q5: The temperature in a city is 3°C in the morning. By noon, it rises by 6°C. What is the temperature at noon? (1 mark)
(a) 10°C
(b) 5°C
(c) 9°C
(d) 6°C
Q6: Add the following fractions using Brahmagupta's method: (1 mark)
4/7 + 3/7
(a) 7/7
(b) 1
(c) 2/7
(d) 3/7
Q7: Which of the following pairs of numbers are co-prime? (1 mark)
(a) 8 and 16
(b) 18 and 24
(c) 5 and 12
(d) 14 and 28
Q8: What is a bar graph? (1 mark)
(a) A graph that uses pictures or objects to represent data
(b) A graph that uses bars to represent data
(c) A mathematical operation
(d) A type of chart used to find averages
Q9: A figure has rotational symmetry if it can be rotated by an angle less than __ and still look the same. (1 mark)
(a) 120°
(b) 180°
(c) 360°
(d) 90°
Q10: Where can fractions be represented visually? (1 mark)
(a) On a number line
(b) In a bar graph
(c) Only in decimal form
(d) On a clock
Q11: Find the missing number in the pattern: (1 mark)
150, 140, 130, __, 110
(a) 120
(b) 125
(c) 115
(d) 105
Q12: An acute angle is always: (1 mark)
(a) Less than 90°
(b) Equal to 90°
(c) More than 90° but less than 180°
(d) More than 180°
Q13: Neha is arranging chairs in a square pattern. The first row has 1 chair, the second row has 4 chairs, the third row has 9 chairs, and the fourth row has 16 chairs. If she continues this pattern, how many chairs will be in the fifth row? (2 marks)
Q14: What is the sum of the smallest and largest 5-digit palindrome? What is their difference? (2 marks)
Q15: Write two equivalent fractions for 5/8. (2 marks)
Q16: A square-shaped garden has a side length of 12 m. Find its area. (2 marks)
Q17: The length of a rectangular park is 50 m and its area is 650 m2. Find its breadth. (2 marks)
Q18: In the following figures, l is the line of symmetry. Complete the diagram to make it symmetric. (2 marks)
Q19: Consider the first ten capital letters of English alphabet, list among them the letters which have : (2 marks)
(i) Vertical lines of symmetry (e.g. A)
(ii) Horizontal lines of symmetry (e.g. B)
(iii) No lines of symmetry (e.g. F)
(iv) Both-vertical and horizontal lines of symmetry (e.g. H)
Q20: Is the first number divisible by the second? Use prime factorization. (2 marks)
(a) 240 and 60
(b) 1024 and 32
Q21: A rectangular playground is 600 m long and 250 m wide. If the cost of painting the boundary lines is ₹10 per 100 sq. m, what is the total cost to paint the entire boundary? (2 marks)
Q22: A strip of width 4 m is cut out all round from a rectangular sheet of paper with dimensions 60 m × 40 m. Find the area of the strip cut out and the area of the remaining sheet. (2 marks)
Q23: Represent the following numbers/expressions on a number line? (3 marks)
(i) –7
(ii) 3+ (-4)
(iii) 4 + 6
Q24: Enter the correct symbol >, =, < in the following: (3 marks)
(i) (–7) _________ (2)
(ii) 7 _________ (–12)
(iii) 0 _________ (–2)
Q25: Put the following set of fractions in descending order : (3 marks)
(i) 15, 35, 135, 95, 125
(ii) 37, 311, 32, 35, 310
Q26: Find the number of square tiles required to cover the floor of a room whose length is 4 m and width 3 m, if each square tile is of side 0.2 m. (3 marks)
Q27: The temperature in a city at 7 AM was 5°C. Due to a heatwave, the temperature rose by 8°C by 11 AM. Later in the afternoon, as a cloud cover appeared, the temperature dropped by 4°C. By night, it again rose by 3°C. (3 marks)
(A) What was the temperature at 11 AM?
(B) What was the temperature in the afternoon?
(C) What was the temperature at night?
Q28: On the number line mark the following numbers: 5, 0, -3, -9 (3 marks)
Q29: Reena collected the data for the ages (in years) of her hobby class group and she recorded the findings in the manner shown below: (3 marks)
Represent the above data using tally marks in the table below :
Ages (in years) | Tally Marks | Frequency |
8 | ![]() | 05 |
9 | ||
10 | ||
11 | ||
12 |
(i) Find the age that appeared maximum number of times?
(ii) Find the ages that appeared equal number of times.
(iii) How many children are below 11 years?
(iv) How many children are of 10 years or above?
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