Finished:Math Practice Questions 18/07/2025

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 and 26 = length

Answer: 13= Width and 26 = length

Question 2 (Football)

During a football match, a player scores 3 more goals than twice the number of assists. If the total number of goals and assists is 18, find the number of goals and assists.

Steps:

Let assists = x, then goals = 2x+3. Total x+(2x+3)=18 → 3x+3=18 → x=5 assists, goals=13.

Answer: 5 assist and 13 goals

Question 3 (Greek Philosophers)

Plato has 5 more books than Aristotle, and together they have 23 books. How many books does each philosopher have?

Steps:

x + (x+5) = 23

Answer: Plato has 14, Aristotle 9

Question 4 (Minecraft)

A creeper explosion destroys half as many blocks as a TNT explosion. If a TNT explosion and a creeper explosion together destroy 72 blocks, how many blocks does each destroy?

Steps:

72/3 = 24

24 x 2 = 48

TNT destroys 48 blocks while a creeper destroys 24 blocks

Answer: TNT destroys 48 blocks while a creeper destroys 24 blocks

Question 5 (Football)

A football team wins 4 times as many matches as they lose. If they played 30 matches in total, how many did they win and lose?

Steps:

30/5 = 6

they lost six and won 24

Answer: they lost six and won 24

Question 6 (Greek Philosophers)

Socrates has twice as many students as Pythagoras. If they have 36 students in total, how many students does each have?

Steps:

36/3 = 12

Pythagoras has 12 and Socrates has 24

Answer: Pythagoras has 12 and Socrates has 24

Question 7 (Minecraft)

Alex collects diamonds and emeralds. She has 3 times as many diamonds as emeralds, and the total number of gems is 48. How many diamonds and emeralds does she have?

Steps:

48/4 = 12

Alex has 12 emeralds and 36 diamonds

Answer: Alex has 12 emeralds and 36 diamonds

Question 8 (Football)

A football is kicked with an initial speed such that 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

T= 4 seconds

Answer: T = 4 seconds

Question 9 (Greek Philosophers)

Aristotle reads 5 pages more per day than Diogenes. If Aristotle reads 45 pages in 5 days, how many pages does Diogenes read per day?

Steps:

45/5 = 9

9-5=4

Diogenes reads 4 pages a day

Answer: Diogenes reads 4 pages a day

Question 10 (Minecraft)

A stack of 64 blocks is divided between two chests. One chest has 12 more blocks than the other. How many blocks are in each chest?

Steps:

64-12 = 52

52/2 = 26

one chest has 38 and the other has 26

Answer: one chest has 38 and the other has 26

Let me know if you'd like any adjustments or additional explanations! Good luck with your NCEA Level 1 preparation! by deepseek-chat