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Mathematical Operations Practice Questions with Detailed Solutions – Level 1

Basic mathematical operations practice on symbol substitution, letter-coded signs, interchanging signs or numbers and balancing equations with BODMAS, with worked solutions.

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Choose Normal practice or a Simulated test.

Questions, answer key and solutions.

Questions
50
Duration
50 min
Marks
50

Negative marking

Attempts
100
Access
Free
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Normal practice, or a Simulated test

Both use the same questions. Normal practice is untimed and needs no account: choose an option and the answer and solution appear at once. The Simulated test is the real computer-based format, with one 50-minute clock, a question palette and full screen, and your score, the key and the solutions arrive when you submit.

Open Normal practiceTake the Simulated test
How the two modes differ
No account needed

Normal

Untimed

Every question on one page, loading as you scroll. Choose an option and see straight away whether it was right.

  • No timer. Nothing to start and nothing to submit. Stop whenever you like.
  • Answered as you choose. Tap an option and it is marked at once, with the correct answer shown.
  • Solutions in place. The explanation, and the video where one has been added, sit under the question.
  • Open to guests. Normal practice needs no sign-in.
Real exam conditions

Simulated

Timed CBT

The computer-based test format: one clock, a question palette, and a score the moment you submit.

  • A clock that does not pause. 50 minutes from the moment you begin, and the paper is submitted for you when it reaches zero.
  • Question palette. Answered, not answered and marked for review, section by section, as the real interface has it.
  • Full screen, proctored. The test takes over the screen; leaving it three times submits the paper.
  • Answers hidden until you submit. The key, the explanations and your score all arrive together at the end.

About this test

Mathematical Operations Reasoning Level 1 Practice Quiz

Applying BODMAS correctly after replacing coded signs is the core skill this Level 1 mathematical operations set builds. It covers substitution of symbols, letters and Greek characters for arithmetic signs, interchanging two signs or two numbers to correct an equation, and choosing sign sequences that balance an equation. Aptitude360 includes a worked solution for every problem.

Question types in this Mathematical Operations set

  • Symbol substitution, where one sign stands for another
  • Letter and special-character codes for addition, subtraction, multiplication and division
  • Interchanging two signs to make an equation correct
  • Interchanging both signs and numbers together
  • Choosing the sign sequence that balances an equation
  • Finding a missing number after swapping signs

Key rules for simplifying operations

  • Order: brackets, orders, then \( \times, \div \) left to right, then \( +, - \) left to right
  • Division before addition: \( a + b \div c = a + \dfrac{b}{c} \)
  • Multiplication before subtraction: \( a - b \times c = a - bc \)
  • Left to right for \( \times \) and \( \div \): \( a \div b \times c = \dfrac{a}{b} \times c \)

Tips to revise mathematical operations

  • Rewrite the whole expression with real signs before simplifying anything.
  • Write the code list beside the problem so swapped signs are not misread.
  • In interchange problems, check each option fully rather than guessing from one side.
  • When testing a sign sequence, evaluate the complete equation before accepting or rejecting it.

Who should start with this set

Beginners in reasoning who want to build accuracy in sign substitution and BODMAS simplification at the basic level before moving to harder sets.

FAQs about Mathematical Operations Practice Questions with Detailed Solutions – Level 1

What are mathematical operations in reasoning?
They are problems where arithmetic signs are coded or swapped, and you must decode the expression and simplify it. Variants include symbol substitution, sign interchange and balancing equations.
How do you solve mathematical operations reasoning questions?
Replace every coded sign with its real meaning, then simplify using BODMAS. Brackets come first, then multiplication and division from left to right, then addition and subtraction from left to right.
What is BODMAS in mathematical operations?
BODMAS stands for Brackets, Orders, Division, Multiplication, Addition and Subtraction. Division and multiplication share the same priority and are worked left to right, as are addition and subtraction.
What are the types of mathematical operations questions?
Common types are coded-sign substitution, interchanging two signs or two numbers to correct an equation, and choosing the sign sequence that balances an equation. Some questions also ask for a missing number after signs are swapped.

Test structure

How the paper is split, and how long each part runs. A section you have finished cannot be returned to.

SectionQuestionsTime
Mathematical Operations Level 15050 min

Marking & rules

Total marks
50 across 50 questions.
Negative marking
A wrong answer costs marks. Leaving a question unanswered costs nothing.
Attempts
100 in total. An attempt is spent the moment you begin one.

What you get when you submit

The analysis is ready the moment you submit the paper.

Score and accuracy

Marks, percentage, right, wrong and skipped, and the time you took.

Section by section

The same figures for each section, so a weak one cannot hide in an average.

The full answer key

Every question with your answer, the right one, the working, and the video where there is one.

Where you stand

Your score against the spread of everyone else who has sat this test.

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