Simultaneous Equations Test : Grades 10 - 12

Grade 10, 11, and 12 students in Papua New Guinea can use this interactive quiz on simultaneous equations to strengthen their understanding of key mathematical concepts. Designed to cover a range of difficulties from easy to challenging, the quiz provides students with an opportunity to practice problem-solving skills that are essential for both school assessments and national examinations. By working through these questions, learners can build confidence, identify areas that need improvement, and better prepare for the types of questions they are likely to encounter in their final exams.

How to take answer these questions Choose the correct answer by clicking on the round radio button on the left Click on Next for next question. Final scores and marking results will be displayed at the end.

1. Solve the simultaneous equations: x + y = 8 and x − y = 2

x = 3, y = 5
x = 5, y = 3
x = 4, y = 4
x = 6, y = 2

2. Solve: x + y = 7 and x = 3

x = 3, y = 4
x = 4, y = 3
x = 2, y = 5
x = 1, y = 6

3. Solve the system: 2x + y = 9 and x + y = 6

x = 3, y = 3
x = 2, y = 4
x = 4, y = 2
x = 1, y = 5

4. Solve: x + 2y = 10 and x − y = 1

x = 4, y = 3
x = 3, y = 2
x = 5, y = 2
x = 2, y = 4

5. Solve the simultaneous equations: 3x + y = 11 and x + y = 5

x = 3, y = 2
x = 2, y = 3
x = 4, y = 1
x = 1, y = 4

6. Solve: 2x + 3y = 12 and x + y = 5

x = 3, y = 2
x = 2, y = 3
x = 4, y = 1
x = 1, y = 4

7. Solve the system: 4x + y = 15 and 2x − y = 1

x = 2, y = 7
x = 3, y = 3
x = 4, y = -1
x = 5, y = -5

8. The sum of two numbers is 18 and their difference is 6. Find the two numbers.

12 and 6
10 and 8
14 and 4
9 and 9

9. Two numbers add up to 25. One number is 5 more than the other. Find the numbers.

15 and 10
20 and 5
18 and 7
12 and 13

10. The total of two numbers is 30. One number is twice the other. Find the two numbers.

10 and 20
15 and 15
12 and 18
8 and 22