Finished: Math Practice Questions 12/07/2025

Here are 10 algebra practice questions tailored to your interests (Minecraft, football, and Greek philosophers) for NCEA Level 1 preparation:

Question 1 (Minecraft)

Steve is building a rectangular farm in Minecraft. The length of the farm is 3 blocks more than twice its width. The perimeter of the farm is 42 blocks. Find the width and length of the farm.

Steps: 42-3=39

39/3= 13

13= width

29=length

Answer: 13= width 29=length

Question 2 (Football)

A football team scored a total of 45 goals in a season. The number of goals scored in the second half of the season was 5 more than triple the goals scored in the first half. How many goals were scored in each half?

Steps:

45-5 = 40

40/4 = 10

10 = first half and 35 = second half

Answer: 10 = first half and 35 = second half

Question 3 (Greek Philosophers)

Plato has twice as many philosophy books as Aristotle. Together, they have 27 books. How many books does each philosopher have?

Steps:

27/3=9

Aristotle has 9 books and Plato has 18 books

Answer: Aristotle has 9 books and Plato has 18 books

Question 4 (Minecraft)

A creeper explosion destroys 4 times as many blocks as a TNT explosion. If a creeper and TNT explosion together destroy 75 blocks, how many blocks does each destroy?

Steps:

75/5 = 15

15= TNT

60 = creeper

Answer: 15= TNT 60 = creeper

Question 5 (Football)

A football is kicked into the air. Its height (h) in meters after t seconds is given by:
h = -5t² + 20t
At what time does the ball hit the ground?

Steps: −5t2+20t=0

t(−5t+20)=0

Answer: T= 4 seconds

Question 6 (Greek Philosophers)

Socrates has 5 more scrolls than Pythagoras. If they have a total of 31 scrolls, how many does each have?

Steps:

31-5=

26

26/2 = 13

Pythagoras has 13 and Socrates has 18

Answer: Pythagoras has 13 and Socrates has 18

Question 7 (Minecraft)

Alex mines 3 diamonds per hour and Steve mines 5 diamonds per hour. Together, they mine 24 diamonds in a certain time. How long did they mine?

Steps:

5+3= 8

24/8= 3

3 hours

Answer: 3 hours

Question 8 (Football)

A team’s points in a tournament are calculated as:
3 points per win, 1 point per draw, 0 for a loss.
If they have 5 wins and 2 draws, what is their total points (P)?

Steps:3 times 5 = 15

15+2 = 17

17 points

Answer:17 points

Question 9 (Greek Philosophers)

Aristotle reads twice as fast as Plato. If they read a combined 90 pages in 3 hours, how many pages can Aristotle read per hour?

Steps:

90/3= 30

30x 2 = Aristotle

60 = Aristotle

60/3 = 20

Answer: Aristotle can read 20 pages an hour

Question 10 (Minecraft & Simultaneous Equations)

A chest contains emeralds and gold ingots. There are 20 items in total. The number of emeralds is 4 less than three times the number of gold ingots. Find how many emeralds and gold ingots are in the chest.

Steps:

20+4 = 24

24/4 = 6

6= gold

6 times 3 -4 =

14

14 = emeralds

Answer: 6= gold and 14 = emeralds

These questions integrate algebra with your hobbies while preparing you for NCEA Level 1. Let me know if you'd like any explanations or additional problems! by deepseek-chat