March 2026 Contest — Grade 7
The March 2026 North Star contest paper for Grade 7 has 12 questions and a 60-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 7
- Questions
- 12
- Time limit
- 60 minutes
- Contest
- March 2026
- Subject
- Mathematics
- School year
- 2025-26
Before you start
- The timer starts when you press Start and runs for 60 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 year 2026 has exactly two digits (two 2s) that are prime numbers. What was the sum of the digits of the year immediately before 2026 that had exactly three prime digits?
- A.8
- B.9
- C.6
- D.12
- E.10
Show the worked solution
To find the year immediately before 2026 that had exactly three prime digits, we first identify which single-digit numbers are prime.
The prime digits are: 2, 3, 5, and 7.
The non-prime digits are: 0, 1, 4, 6, 8, and 9.
Now, let's check the year immediately before 2026, which is 2025:
The digits of 2025 are 2, 0, 2, and 5.
2 is a prime number.
0 is not a prime number.
2 is a prime number.
5 is a prime number.
Thus, the year 2025 has exactly three prime digits (2, 2, and 5).
Since 2025 is the year immediately before 2026 and it satisfies the condition of having exactly three prime digits, we calculate the sum of its digits:
2 + 0 + 2 + 5 = 9.
Therefore, the sum of the digits is 9.
Question 12 — Data & Statistics
The average mark on a science quiz was 12. Exactly 75% of students passed. The mean mark of students who passed was 14. What was the mean mark of students who failed?
- A.2
- B.4
- C.10
- D.8
- E.6
Show the worked solution
To find the mean mark of the students who failed, we can use a simple representative number of students to make the calculations straightforward.
1. Assume a total number of students:
Let's assume there are 100 students in total.
2. Calculate the total marks of all students:
Since the average mark of all 100 students is 12, the total sum of all marks is:
Total Marks = 100 x 12 = 1200
3. Calculate the total marks of the students who passed:
Exactly 75% of the students passed. Out of 100 students, this is 75 students.
The mean mark of these 75 students is 14, so their total marks are:
Passed Marks = 75 x 14 = 1050
4. Calculate the total marks of the students who failed:
The remaining students failed. The number of students who failed is:
100 - 75 = 25 students
The total marks of these 25 students is the difference between the total marks of all students and the total marks of those who passed:
Failed Marks = 1200 - 1050 = 150
5. Calculate the mean mark of the students who failed:
The mean mark of the students who failed is their total marks divided by the number of failed students:
Mean Failed = 150/25 = 6
Therefore, the mean mark of the students who failed is 6.
The answer is E
Take the whole paper
All 12 questions, 60 minutes, marked as you go. No account needed.