Series RTEQ.P. Code 77/-2/0
Roll No.
RTE LEARN · CBSE PATTERN 2026–27
MATHEMATICS
Unit test · Ch 13: Algebra Play
Time allowed : 40 MinutesMaximum Marks : 20
General Instructions :
Read the following instructions carefully and follow them :
(i)This question paper contains 11 questions. All questions are compulsory.
(ii)This question paper is divided into three sections – A, B and C.
(iii)In Section A, Question numbers 1 to 5 carry 1 mark each.
(iv)In Section B, Question numbers 6 to 8 are very short answer (VSA) type questions carrying 02 marks each.
(v)In Section C, Question numbers 9 to 11 are short answer (SA) type questions carrying 03 marks each.
(vi)Draw neat figures wherever required. Take π = 22/7 wherever required, if not stated.
(vii)Use of calculators is not allowed.
SECTION A
This section comprises 5 questions of 1 mark each.
1.1
Think of a number x. Add 5, multiply by 2, subtract 10, then divide by 2. Write the result in terms of x.
2.1
A two-row number pyramid has 9 and 15 in the bottom row. What number is at the top?
3.1
On a calendar, a 2 × 2 grid has 12 as its top-left number. Write the other three numbers.
4.1
Find the sum of 45 and its reverse. Is it divisible by 11?
5.1
Using the digits 2, 4 and 6 once each, fill in (two-digit number) × (one-digit number) to get the largest product.
SECTION B
This section comprises 3 very short answer (VSA) type questions of 2 marks each.
6.2
In the date trick (month × 5, add 6, × 4, add 9, × 5, add the day), a friend's final answer is 874. Find the date and show your working.
7.2
Without building the whole pyramid, find the top number of a three-row pyramid whose bottom row is 6, 11, 9. Show the rule you used.
8.2
Using algebra, show that for any two-digit number ab with a > b, the difference ab − ba is divisible by 9.
SECTION C
This section comprises 3 short answer (SA) type questions of 3 marks each.
9.3
A friend picks a 2 × 2 grid from a calendar and says the four numbers add up to 72. (a) Write an expression for the sum if the top-left number is a. (b) Find a. (c) Write all four numbers.
10.3
A farm has horses and hens. There are 40 heads and 110 legs in total. How many horses and how many hens are there? Show your method.
11.3
A genie doubles the coins in Karim's pocket each time he goes around a tree, and Karim must pay 16 coins after each round. After 3 rounds and 3 payments he has no coins left. How many coins did he start with? Show your working with algebra.
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