Finished: Math Practice Questions 5/05/2025

Here are 10 Order of Operations practice questions for NCEA Level 1, formatted with explicit Steps and Answer sections:

Question 1
Calculate: 5 + 3 × 2
Steps:

5 + 6

11
Answer: 11

Question 2
Simplify: (12 - 4) × 2 + 7
Steps:

8 × 2 + 7

16 + 7

23
Answer: 23

Question 3
Evaluate: 20 / (4 + 1) × 3
Steps:

20/ 5 × 3

20/15

4/3

Answer: 4/3

Question 4
Solve: 6 + 2² × (8 - 5)
Steps:

6+4 x3

6 + 12

18
Answer: 18

Question 5
Calculate: 15 - 3 × (7 - 4) + 2
Steps: 15 - 3 x 3+2

15-9+2

6+2

8
Answer:8

Question 6
Simplify: (5 × 3)² / (10 - 5) + 1
Steps:

15^2 / 5+1

15^2/5+1

225/5 = 1

45=1

46

Answer: 46

Question 7
Evaluate:
3x + 2y = 16
x - y = 2
(Find x and y)
Steps:

based on equation 2

x=2+y

putting this into equation 1

6 + 3y + 2y = 16

5y=10

y=2

Answer: y=2 and x = 4

Question 8
Solve:
2a + b = 10
3a - b = 5
(Find a and b)
Steps:

based on equation 1

b = 10 - 2a

putting this into equation 2

3a - (10 - 2a) = 5

5a - 10 = 5 so a = 3

b = 4

Answer: a=3 and b 4

Question 9
Calculate: 4 × [8 - (3 + 1)]² / 2
Steps:

4x [8-(4)]^2/2

4x 4^2 / 2

4x 16 / 2

64 / 2

32

Answer: 32

Question 10
Simplify:
(18 / (6 - 3)) + 5 × 2²
Steps:

(18 / 3) + 5 x 2^2

6 + 5 x 4

26

Answer: 26

Each question tests BEDMAS (Brackets, Exponents, Division/Multiplication, Addition/Subtraction) or simultaneous equations. The Steps section allows working space, and the Answer section is for final solutions. Let me know if you'd like explanations for any problems! by deepseek-chat