June 2026 Contest — Grade 4
The June 2026 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
- June 2026
- 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 — Number Sense & Operations
The six smallest even natural numbers (2, 4, 6, 8, 10, 12) are written on the faces of a custom die, one number per face. Sadie rolls the die four times. Which of the following cannot be the sum of her four results?
- A.34
- B.8
- C.35
- D.48
- E.36
Show the worked solution
To find which number cannot be the sum of Sadie's four rolls, let's look at the numbers on the faces of the custom die: 2, 4, 6, 8, 10, and 12.
Notice that all of these numbers are even numbers.
When we add even numbers together, the sum is always even:
An even number plus an even number is always an even number.
Therefore, adding four even numbers together will always result in an even number.
Let's check the options given:
A) 34 is an even number.
B) 8 is an even number.
C) 35 is an odd number.
D) 48 is an even number.
E) 36 is an even number.
Since the sum of four even numbers must be even, it is impossible to get an odd sum like 35.
Therefore, 35 cannot be the sum of her four results.
Question 12 — Logical Reasoning & Problem Solving
A furniture store sells a large bookshelf and a small bookshelf made from identical modular pieces. All the end and middle panels are of equal width. How wide is one end panel?
- A.20
- B.10
- C.15
- D.40
- E.None of these
Show the worked solution
Step 1 — Read the image:
The image shows two bookshelves made of vertical panels and horizontal shelves.
The large bookshelf on the left has a total width of 130. It consists of 3 vertical panels (left, middle, and right) and 2 shelf columns.
The small bookshelf on the right has a total width of 70. It consists of 2 vertical panels (left and right) and 1 shelf column.
Step 2 — Solve:
Let's compare the two bookshelves using simple arithmetic:
1. If we place two small bookshelves side-by-side, their combined width would be:
70 + 70 = 140
2. These two small bookshelves together would contain a total of 4 vertical panels and 2 shelf columns.
3. The large bookshelf has a width of 130 and contains 3 vertical panels and 2 shelf columns.
4. The difference between the two combined small bookshelves and the one large bookshelf is exactly 1 vertical panel:
Two small bookshelves: 4 panels + 2 shelf columns = 140
One large bookshelf: 3 panels + 2 shelf columns = 130
Subtracting these gives the width of one panel:
140 - 130 = 10
Thus, the width of one panel is 10.
Step 3 — Select:
Comparing this to the options, 10 corresponds to option B.
The answer is B
Take the whole paper
All 12 questions, 45 minutes, marked as you go. No account needed.