Page 1
HALF YEARLY EXAM
QUESTION
PAPER
ORIGINAL EXAM PAPERS
Page 2
HALF YEARLY EXAMINATION, 2024
2024-25
MATHEMATICS
Time – 3:00 Hrs. Class – VII M.M. : 80
Date – 19.09.2024 (Thursday)
Name of the student _______________________________________________Section _____
GENERAL INSTRUCTIONS:
• This question paper is divided into four sections A, B, C and D.
• Section A consists of 20 questions (MCQs, fill up and match the following) of
1 mark each. Attempt all the questions.
• Section B consists of 5 questions of 2 marks each. Attempt all the questions.
• Section C consists of 7 questions of 4 marks each. Attempt any 5 questions.
• Section D consists of 8 questions of 5 marks each. Attempt any 6 questions.
SECTION – A (Attempt all the questions) (10×1=10)
Q1. Choose the correct option.
ଶ
i) 5× =
ଵ ହ ଶ
a) b) c) d)
ଷହ ଵ
ii) 24.93÷10=
a) 249.3 b) 2.493 c) 0.2493 d) 2493
iii) x – 8 = 1, so value of x is
a) –7 b) 7 c) 9 d) –9
iv) If two angles are complementary then sum of their measures is
a) 50˚ b) 80˚ c) 90˚ d) 180˚
v) 4p = –20, so value of p is
a) –5 b) 5 c) –80 d) 80
vi) If two adjacent angles are supplementary they form
a) obtuse angles b) acute angles c) complete angles d) linear pair
vii) The observation of a set of observations that occurs most often is called
a) mean b) mode c) median d) range
viii) Difference between highest and lowest observation is called
a) mean b) median c) mode d) range
ix) Sum of measures of all the angles of a triangle is
a) 180˚ b) 190˚ c) 200˚ d) 360˚
x) Number of altitudes in a triangle is
a) 1 b) 2 c) 3 d) 4
Q2. Fill in the blanks. (6×1=6)
i) 175.32 × 100 = ____________.
HALF YEARLY EXAM | MATHEMATICS | CLASS 7 | 2024-25 | PRINTED Q 23 PRINTED PAGES 4 | PAGE# 1
Page 3
ii) In a right-angle triangle, the side opposite to the right angle is called ____________.
iii) Two angles can be supplementary if both of them are ____________ angles.
iv) The middle value of a set of observations (when arranged in increasing or
decreasing order) is called ____________.
v) Equation for the statement ‘15 times m is 90’ is ____________.
Sum of all the observations
vi) = ____________.
Number of observations
Q3. Match the following. (4x1=4)
i) Commutative property a) 19 + (–25) = –6
ii) Associative Property b) 5 × (7 + 9) = (5 × 7) + (5 × 9)
iii) Distributive Property c) 2 × 9 × 12 = 9 × 12 × 2
iv) Closure property d) 25 + (12 +34) = (25 + 12) + 34
SECTION – B (Attempt all the questions) (5x2=10)
Q4. A batsman scored the following number of runs in 5 innings. Find the median of this data.
45, 30, 55, 50, 40
Q5. Find the value of (–10) × (–18) × 5.
Q6. 3x +15 = 60, Find the value of x.
Q7. What is the measure of supplement of 70˚?
Q8. Measure of two angles of a triangle are 35
35˚˚ and 70˚. What is the measure of third angle?
SECTION – C (Attempt any five questions) (5x4=20)
Q9. Each side of a regular polygon is 2.5 cm in length. The perimeter of the polygon is 17.5 cm.
How many sides does the polygon have?
Q10. The marks obtained by a group of students in a maths test are 75, 80, 82, 78, and 95. Find
the mean marks obtained by the group.
Q11. Write the following statements in the form of equations.
i) Sum of 5 times x and 8 is 38.
ii) 7 subtracted from one third of p is 13.
Q12. In the given figure, identify
i) One pair of corresponding angles
ii) One pair of alternate interior angles
iii) One pair of vertically opposite angles
iv) One pair of interior angles in the same side of transversal
Q13. Find out the values of x and y. Also write the properties used.
Page 4
Q14. In the above figure, the arms of two angles are parallel. (BA || ED and BC || EF)
If ∠ABC = 70o, then find
(i) ∠DGC (ii) ∠DEF
Q15. People of Sundargram planted trees in the village garden. Some of the trees were fruit
trees. The number of non-fruit trees were two more than three times the number of fruit
trees. What was the number of fruit trees planted if the number of non-fruit trees planted
was 86?
SECTION – D (Attempt any Six questions) (6x5=30)
Q16. In a class test containing 10 questions, 5 marks are awarded for every correct answer and
(–2) marks are awarded for every incorrect answer and 0 for questions not attempted.
(i) Mohan gets four correct and six incorrect answers. What is his score?
(ii) Reshma gets five correct answers and five incorrect answers. What is her score?
Q17. A car runs 16 km using 1 litre of petrol. How much distance will it cover using 2 litre of
petrol?
Q18. Study the bar chart and answer the questions.
(a) What information does the above bar graph give?
(b) What is the scale chosen on the horizontal line representing number of shirts?
(c) On which day were the minimum numbers of shirts sold?
(d) How many shirts were sold on Thursday?
(e) On which day were the maximum numbers of shirts sold? How many shirts were sold
on that day?
Page 5
Q19. The performance of a student in the 1st Term and 2nd Term is given.
Subject English Hindi Maths Science S.Sc
1st Term (M.M. 100) 67 72 88 81 73
2nd Term (M.M. 100) 70 65 95 85 75
Draw a double bar graph choosing appropriate scale.
Q20. A 15 m long ladder reached a window 12 m high from the ground on placing it against a
wall at a distance ‘a’. Find the distance (a) of the foot of the ladder from the wall.
Q21. Find the perimeter of the rectangle whose length is 40 cm and a diagonal is 41 cm.
Q22. From the given figure, name the following pairs of angles.
a) Adjacent complementary angles.
b) Vertically opposite angles.
c) Equal supplementary angles.
d) Unequal supplementary angles.
e) Adjacent angles that do not form linear pair.
Q23. Rani’s father is 48 years old. He is 6 years older than 3 times of Rani’s age. What is Rani’s
age?
HALF YEARLY EXAM | MATHEMATICS | CLASS 7 | 2024-25 | PRINTED Q 23 PRINTED PAGES 4 | PAGE# 4
Page 6
Study Materials
Notes
Model Papers Class 6 Notes
Sample Papers Class 7 Notes
Half Yearly Sample Papers Class 8 Notes
Class 9 Notes
Important Resources
Class 10 Notes
Periodic Table
Class 11 Notes
Writing Skills / Formats
Maps of India / World Class 12 Notes
Books and Solutions
NCERT Books
NCERT Book Solutions
HC Verma Chapter Wise Solutions
RD Sharma Solutions
CGBSE Solutions