October 2025 Contest — Grade 4
The October 2025 North Star contest paper for Grade 4 has 12 questions and a 45-minute limit. Two sample questions with worked solutions are below, and you can take the whole paper online for free — no account, no sign-up.
- Grade
- Grade 4
- Questions
- 12
- Time limit
- 45 minutes
- Contest
- October 2025
- Subject
- Mathematics
- School year
- 2025-26
Before you start
- The timer starts when you press Start and runs for 45 minutes.
- Answer the 12 questions in any order; each is multiple choice.
- Your answers are marked as you go. Nothing is saved to an account, so finish in one sitting.
Sample questions
The first and last questions from this paper, with their worked solutions.
Question 1 — General Math
A measuring tape is wrapped around cardboard. Which number is opposite to 6 on the other side of the board?
- A.12
- B.11
- C.10
- D.13
- E.9
Show the worked solution
To find the number opposite to 6 on the other side of the cardboard, we can follow these steps:
Step 1 — Read the image
Left edge of the cardboard: The left edge of the cardboard aligns exactly with the start of the measuring tape (0 cm).
Right edge of the cardboard: Looking at the right side of the image, the cardboard ends exactly at the 9.5 cm mark on the measuring tape.
Width of the cardboard: Since it starts at 0 cm and ends at 9.5 cm, the width of the cardboard is 9.5 cm.
Step 2 — Solve
The number 6 is located 6 cm from the left edge of the cardboard.
This means the distance from the number 6 to the right edge of the cardboard is:
9.5 cm - 6 cm = 3.5 cm
The measuring tape wraps around the right edge of the cardboard and goes across the back.
To reach the point directly opposite to 6 on the back side, the tape must travel the full width of the front (9.5 cm) plus the distance from the right edge to the opposite point (3.5 cm):
9.5 cm + 3.5 cm = 13 cm
Therefore, the number opposite to 6 on the other side of the board is 13.
Step 3 — Select
The correct option is D.
Question 12 — General Math
5 cards are placed in 3 overlapping circles such that the sum of numbers in each circle is 7. Which number is under the question mark?
- A.2
- B.1
- C.6
- D.5
- E.3
Show the worked solution
Step 1 — Read the image
By looking at the image, we can identify the following visual facts:
There are three overlapping circles: a Left Circle, a Middle Circle, and a Right Circle.
There are five rectangular cards placed in different regions of these circles:
1. Card 1 is in the Left Circle only and has the number 5.
2. Card 2 is in the overlap of the Left Circle and the Middle Circle (blank).
3. Card 3 is in the Middle Circle only and has the number 4.
4. Card 4 is in the overlap of the Middle Circle and the Right Circle (blank).
5. Card 5 is in the Right Circle only and has a question mark ?.
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Step 2 — Solve
We are given that the sum of the numbers in each circle is 7.
1. Find the value of Card 2 (overlap of Left and Middle Circles):
The Left Circle contains Card 1 (which is 5) and Card 2.
Since the sum of the Left Circle is 7, we have:
Card 2 = 7 - 5 = 2
2. Find the value of Card 4 (overlap of Middle and Right Circles):
The Middle Circle contains Card 2 (which is 2), Card 3 (which is 4), and Card 4.
Since the sum of the Middle Circle is 7, we have:
2 + 4 + Card 4 = 7
6 + Card 4 = 7
Card 4 = 7 - 6 = 1
3. Find the value of Card 5 (the question mark ?):
The Right Circle contains Card 4 (which is 1) and Card 5 (which is ?).
Since the sum of the Right Circle is 7, we have:
1 + ? = 7
? = 7 - 1 = 6
Therefore, the number under the question mark is 6.
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Step 3 — Select
The correct option is C.
The answer is C
Take the whole paper
All 12 questions, 45 minutes, marked as you go. No account needed.