April 2026 Contest — Grade 7
The April 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
- April 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 — Mathematical Applications
A radar antenna on a ship begins rotating clockwise from a position pointing south-east. The antenna completes one full rotation every 60 seconds. How many seconds pass before the antenna points south-west for the first time?
- A.45
- B.40
- C.30
- D.20
- E.15
Show the worked solution
Step 1 — Read the image:
The image shows a compass with 8 equally spaced directions: North (N), North-East (NE), East (E), South-East (SE), South (S), South-West (SW), West (W), and North-West (NW).
Since there are 8 equal sectors in a full circle (360^circ), each sector represents an angle of 360^circ / 8 = 45^circ.
The green arrow labeled "Start (South-East)" points to SE.
The purple arrow labeled "First time pointing South-West" points to SW.
The red curved arrow shows that the rotation is "Clockwise Rotation" (moving from North to East, then South, then West).
Step 2 — Solve:
The antenna starts at South-East (SE) and rotates clockwise.
Following the clockwise direction from SE, the antenna passes through:
1. South (S) — after rotating 45^circ (1 sector)
2. South-West (SW) — after rotating another 45^circ (2 sectors total, which is 90^circ)
Therefore, to point to South-West for the first time, the antenna must complete a rotation of 2 out of the 8 sectors (or 2/8 = 1/4 of a full rotation).
Since one full rotation takes 60 seconds, the time taken to complete 1/4 of a rotation is:
Time = 1/4 x 60 seconds = 15 seconds
Step 3 — Select:
The correct option is E.
The answer is E
Question 12 — Ratios & Proportional Reasoning
During track and field practice, Aiden cycles around the rectangular infield of a stadium while Priya sprints straight lengths of the field (90 m each). Aiden cycles twice as fast as Priya runs. Priya completed 8 lengths of the field in the same time that Aiden cycled around the full perimeter of the rectangle 6 times. How wide is the rectangular infield?
- A.25 m
- B.30 m
- C.40 m
- D.45 m
- E.60 m
Show the worked solution
Step 1 — Read the image:
The image shows a rectangle representing the infield of a stadium.
The length of the rectangle (horizontal side) is labeled as 90.
The width of the rectangle (vertical side) is labeled with a question mark (?), which is the value we need to find.
Step 2 — Solve:
Let's analyze the information given in the problem:
1. Priya's distance: Priya sprints 8 lengths of the field. Each length is 90 m.
Priya's total distance = 8 x 90 m = 720 m
2. Aiden's distance: Aiden cycles twice as fast as Priya runs. Therefore, in the same amount of time, Aiden covers twice the distance that Priya covers.
Aiden's total distance = 2 x 720 m = 1440 m
3. Perimeter of the rectangle: Aiden cycled around the full perimeter of the rectangle 6 times to cover this distance.
6 x Perimeter = 1440 m
Perimeter = frac{1440 m}{6} = 240 m
4. Width of the rectangle: The perimeter of a rectangle is given by the formula:
Perimeter = 2 x (Length + Width)
240 = 2 x (90 + Width)
120 = 90 + Width
Width = 120 - 90 = 30 m
Step 3 — Select:
The width of the rectangular infield is 30 m, which corresponds to option B.
The answer is B
Take the whole paper
All 12 questions, 60 minutes, marked as you go. No account needed.