Arithmetic Operations (Primary)

Theory

Math is more than numbers - it's about patterns, logic, and a little bit of creative play. This collection of arithmetic and bracket puzzles is designed to challenge young minds while keeping problem solving fun and engaging.

From inserting the right operations between digits to rearranging numbers with clever use of brackets and basic arithmetic, these puzzles promote flexible thinking, mental calculation, and deeper mathematical understanding.

Problems

1. Insert the missing operation signs “+” or “–” so that the equation becomes correct:
a) 5 4 3 2 1 = 3
b) 5 4 3 2 1 = 5

2. Insert missing “+” signs between some digits so that the equation becomes correct:
1 2 3 4 5 6 7 = 100

3. Place arithmetic operation signs and, if needed, brackets so that the equation becomes correct:
1 2 3 4 5 6 7 8 = 9

4. Between the numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9, written in the given order, insert addition and multiplication signs so that the resulting expression equals 100
(Brackets may not be used. Between any two neighbouring digits there must be a “+” or “×” sign.)

5. Insert arithmetic signs so that the equation is correct:
8 4 9 = 18

6. Fill each square with the same digit so that the equation is correct:

7. Using the digit 7 exactly four times, along with operation signs and brackets, represent all integers from 0 to 10.

8. In the expression
1 * 2 * 4 * 8 * 16 * 32 * 64 = 27
replace the “*” signs with “+” or “–” so that the equation becomes correct.

FAQ

Find quick answers to common questions about our lessons, pricing, scheduling, and how Exact Science can help your child excel.
Where do you hold your classes?
We hold our classes online or on-site on Saturdays at our branch in Pimlico Academy, London.
You can find our timetable here.
What do you need to start learning online?
For lessons you only need a computer or phone with a microphone, camera and Internet access. Wherever you are - in London, Nottingham, New York or Bali - online lessons will be at hand.
When can I take the trial lesson?
You can get acquainted with the school at any time convenient for you. To do this, just leave a request and sign up for a lesson.
What should I expect from the trial lesson?
The trial lesson is a 30-minute online session designed to get a sense of how your child approaches mathematical thinking and problem solving. (In practice, it often runs a bit longer if the student is engaged!)

We typically explore a range of fun and challenging problems drawn from competitions. We adapt the difficulty based on how the student responds, aiming to make it both accessible and stimulating.

After the session, we’ll have a quick conversation with the parent to share observations and suggest a personalised path forward.
I can't attend class, what should I do?
It is OK, it happens! Students have the opportunity to cancel a lesson up to 8 hours before the scheduled time without loss of payment. So you can reschedule it for a convenient time, and the teacher will have the opportunity to
I don't have much free time, will I have time to study?
Learning can take place at your own pace. We will select a convenient schedule and at any time we will help you change the schedule, take a break or adjust the program.
How long is one lesson?
All classes last 1 hour.

Meet our team

Our teachers will tell you how to prepare for exams, help you cope with difficult tasks and win the Olympiad

They will tell you about the pitfalls of exams and the most common mistakes, and explain how to avoid them
George Ionitsa
Founder &
Maths and Coding Coach

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