S1 Maths: Algebraic Expressions And Substitution (Paper 2 (intermediate))

S1 Maths: Algebraic Expressions and Substitution (Paper 2 (intermediate))

2026-11-15

Tutor Prep Guide · substitution; brackets and powers; order of operations; simplifying first; working back to the unknown

S1 Maths: Algebraic Expressions and Substitution (Paper 2 (intermediate))

Paper 2 (intermediate): ten substitution questions on evaluating expressions, brackets and powers, simplifying before substituting, and working back to the unknown, with answers and one-line notes.

Direct answers　Level: S1 maths; format: substitution, simplifying expressions, order of operations, working back from a value.

01　Paper details (check answers afterwards)

Item	Detail
Questions	10
Suggested time	20
Difficulty mix	Foundation 3 · Intermediate 3 · Challenge 3 · Error redo 1
Chapter	Chapter: S1 Maths: Algebraic Expressions and Substitution
Level	S1

02　Questions (10 items)

FoundationFind the value of 6m – 4n when m = 5 and n = 2.
FoundationFind the value of (p + q) squared when p = 3 and q = 2.
FoundationFind the value of 2(x – 3) + 5 when x = 8.
IntermediateFind the value of a / 2 + b / 3 when a = 8 and b = 9.
IntermediateFind the value of 3x squared when x = 4.
IntermediateFind the value of 5 – 2y when y = 3.5.
ChallengeFind the value of x + y – z when x = 12, y = 9 and z = 7.
ChallengeA shirt costs s dollars and three shirts get 40 dollars off, so the price is 3s – 40. How much is paid when s = 60?
ChallengeA rectangle is (2k + 1) cm long and k cm wide. What is its perimeter when k = 4?
Error redoError clinic: find the value of (2x) squared when x = 3.

03　Answers and one-line notes

#	Answer	One-line note
1	22.	6 times 5 is 30 and 4 times 2 is 8, so the difference is 22.
2	25.	The bracket gives 5, and 5 squared is 25.
3	15.	The bracket gives 5, times 2 is 10, and adding 5 gives 15.
4	7.	8 divided by 2 is 4 and 9 divided by 3 is 3, so the total is 7.
5	48.	Square 4 first to get 16, then multiply by 3 to get 48.
6	-2.	2 times 3.5 is 7, and 5 minus 7 is -2.
7	14.	12 plus 9 is 21, and subtracting 7 gives 14.
8	140 dollars.	3 times 60 is 180, and 180 minus 40 is 140.
9	26 cm.	The length is 9 cm and the width is 4 cm, so the perimeter is (9 + 4) times 2, that is 26.
10	36.	(2x) squared is 6 squared; writing 2x squared instead would only give 18.

04　What to do after marking

After marking, redo only the wrong items and write down which step went wrong (formula, unit, or misread number).
Repeat the same item two days later; move to the next paper only when both attempts are correct.
Parents only need the answer and note columns; there is no need to explain every item.

Check the answers; handle brackets and powers first, then collect like terms.Tutor Registration →

Questions and answers are written originally by the TutorZone team and are not taken from any school, publisher or examination authority paper. Every value is checked by computer.