Series RTEQ.P. Code 83/-2/-1
Roll No.
RTE LEARN · CBSE PATTERN 2026–27
MATHEMATICS
Periodic Test 7
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
Think of a number, multiply it by 3, add 9, divide by 3, then subtract the number you thought of. What is the result?
2.1
A two-row number pyramid has 5 and 8 in the bottom row. What is at the top?
3.1
A 2 × 2 calendar grid has 20 as its top-left number. What is the sum of its four numbers?
4.1
Find (63 − 36) ÷ 9.
5.1
Find 52 + 25 and divide the result by 11.
6.1
Find the area of a rectangle measuring 12 cm × 7 cm.
7.1
Find the area of a triangle with base 9 cm and height 8 cm.
8.1
Find the area of a parallelogram with base 11 cm and height 6 cm.
9.1
Find the area of a rhombus with diagonals 16 cm and 10 cm.
10.1
1 acre = 43,560 ft². How many ft² are there in 2 acres?
SECTION B
This section comprises 4 very short answer (VSA) type questions of 2 marks each.
11.2
In the date trick (month × 5, add 6, × 4, add 9, × 5, add the day), the final answer is 1095. Find the date.
12.2
Using the digits 4, 6 and 8 once each, fill in (two-digit number) × (one-digit number) to get the largest product. Give the product.
13.2
Find the area of a trapezium whose parallel sides are 9 cm and 15 cm and whose height is 6 cm.
14.2
The area of a triangle is 45 cm² and its base is 15 cm. Find its height.
SECTION C
This section comprises 4 short answer (SA) type questions of 3 marks each.
15.3
A four-row number pyramid has bottom row 2, 5, 4, 3. (a) Write the expression for the top in terms of a, b, c, d. (b) Find the top number without building the pyramid.
16.3
A father is 3 times as old as his son. In 12 years he will be twice as old as his son. Find their present ages using algebra.
17.3
A plot 25 m × 16 m has two crosspaths, each 2 m wide, running through the middle parallel to the sides. Find the area of the crosspaths.
18.3
In quadrilateral ABCD, diagonal AC = 18 cm. The perpendiculars from B and D to AC are 5 cm and 7 cm. Find the area of ABCD.
SECTION D
This section comprises 2 long answer (LA) type questions of 5 marks each.
19.5
Take any 3-digit number abc and form bca and cab. (a) Using algebra, find abc + bca + cab. (b) Show that the sum is always divisible by 37. (c) Is it also divisible by 3? (d) Verify with 123.
20.5
A garden is a trapezium with parallel sides 50 m and 30 m, which are 20 m apart. A rectangular pond 10 m × 6 m is dug inside it. (a) Find the area of the garden. (b) Find the area left after the pond. (c) Find the cost of planting grass on the remaining area at ₹15 per m².
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