Series RTEQ.P. Code 76/1/0
Roll No.
RTE LEARN · CBSE PATTERN 2026–27
MATHEMATICS
Periodic Test 5
Time allowed : 1½ HoursMaximum Marks : 40
General Instructions :
Read the following instructions carefully and follow them :
(i)This question paper contains 20 questions. All questions are compulsory.
(ii)This question paper is divided into four sections – A, B, C and D.
(iii)In Section A, Question numbers 1 to 10 carry 1 mark each.
(iv)In Section B, Question numbers 11 to 14 are very short answer (VSA) type questions carrying 02 marks each.
(v)In Section C, Question numbers 15 to 18 are short answer (SA) type questions carrying 03 marks each.
(vi)In Section D, Question numbers 19 to 20 are long answer (LA) type questions carrying 05 marks each.
(vii)Draw neat figures wherever required. Take π = 22/7 wherever required, if not stated.
(viii)Use of calculators is not allowed.
SECTION A
This section comprises 10 questions of 1 mark each.
1.1
How many lines of symmetry does a regular pentagon have?
2.1
What is the angle of rotational symmetry of a square?
3.1
Does the letter Z have line symmetry or rotational symmetry?
4.1
Name two natural objects that show symmetry.
5.1
What is point symmetry?
6.1
Write the integers between -4 and 3.
7.1
What is the additive inverse of -7?
8.1
Arrange in ascending order: -5, 3, -8, 0, 6, -1.
9.1
A lift is at floor -2 (basement). It goes up 5 floors. Which floor is it on now?
10.1
What is (-12) - (-5)?
SECTION B
This section comprises 4 very short answer (VSA) type questions of 2 marks each.
11.2
A regular hexagon has 6 lines of symmetry. Draw a regular hexagon and show all 6 lines. Classify them into two types.
12.2
Create a symmetric pattern by reflecting the letter F across a vertical line. Then reflect the combined figure across a horizontal line. How many lines of symmetry does the final figure have?
13.2
The temperature at noon was 8°C. By midnight it fell by 13°C. (a) What was the midnight temperature? (b) By morning it rose by 6°C. What was the morning temperature?
14.2
Simplify: (-8) + (+15) + (-6) + (+3) + (-9). Group positive and negative numbers separately then find the sum.
SECTION C
This section comprises 4 short answer (SA) type questions of 3 marks each.
15.3
A wheel has 8 spokes equally spaced. (a) What angle does each spoke make with the next? (b) What is the order of rotational symmetry? (c) How many lines of symmetry does it have? (d) If 2 opposite spokes are removed how does the symmetry change? (e) Draw and verify.
16.3
Analyse the symmetry of these letters when written in capitals: H I N O S X Z. For each state: (a) number of lines of symmetry (b) order of rotational symmetry (c) whether it has point symmetry.
17.3
A company had profits and losses over 5 months: Jan +Rs 5000, Feb -Rs 3000, Mar +Rs 8000, Apr -Rs 6000, May +Rs 2000. (a) Find the total profit or loss. (b) In which months did the company make a loss? (c) What was the average monthly profit or loss?
18.3
On a number line starting from -10: (a) Mark all integers from -10 to 10. (b) Circle all negative even integers. (c) Put a square around all positive odd integers. (d) What is the sum of all integers from -10 to 10? (e) What is the sum of integers from -5 to 5?
SECTION D
This section comprises 2 long answer (LA) type questions of 5 marks each.
19.5
Priya is making a rangoli with 12-fold symmetry. (a) What angle of rotation gives this symmetry? (b) How many lines of symmetry will it have? (c) She starts with one petal design and reflects and rotates it. How many times must she repeat the basic unit? (d) If the rangoli fits in a circle of radius 20 cm what is the area? Use pi=3.14. (e) She uses 3 colours equally. What area does each colour cover?
20.5
A mountaineer starts at base camp at altitude 0 m. Day 1: climbs 1200 m. Day 2: descends 400 m due to storm. Day 3: climbs 800 m. Day 4: descends 300 m. Day 5: climbs 500 m to reach summit. (a) Write each days movement as integer. (b) Find position after each day. (c) What is the summit altitude? (d) What was the total distance travelled (not displacement)? (e) If he descends to base camp next day in one go what integer represents that movement?
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