Finished:Math Practice Questions 11/07/2025
Here are 10 algebra practice questions tailored to your interests in Minecraft, football, and Greek philosophers, designed 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 scores 3 goals for every 2 goals conceded. In a season, they conceded 24 goals. How many goals did they score in total?
Steps:
24/2 = 12
12+24= 36
Answer: 36 goals
Question 3 (Greek Philosophers)
Socrates has twice as many books as Plato, and together they have 36 books. How many books does each philosopher have?
Steps:
36/3 = 12
12= Plato's books
24=Socrates books
Answer: Plato has 12 and Socrates has 24
Question 4 (Minecraft)
A stack of diamonds in Minecraft contains 64 diamonds. If Alex has 5 full stacks and an extra 12 diamonds, how many diamonds does she have in total?
Steps:
5 times 64 = 320
320+12 = 332
Answer: 332
Question 5 (Football)
A football is kicked into the air. Its height (h 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)
Aristotle’s age is 5 years more than 3 times Pythagoras’ age. If their combined age is 45, how old is each philosopher?
Steps:
45-5 = 40
40/4 = 10
Pythagoras is 10
and Aristotle is 35
Answer: Pythagoras is 10 and Aristotle is 35
Question 7 (Minecraft)
A creeper explosion destroys 4 blocks per second. How many seconds will it take to destroy 60 blocks?
Steps:
60/4 = 15
Answer: 15 seconds
Question 8 (Football)
A team earns 3 points for a win and 1 point for a draw. If they have 10 wins and 4 draws, what is their total points?
Steps:
10 times 3 = 30
30+4 = 34
Answer: 34 points
Question 9 (Greek Philosophers)
Plato walks x km/day, while Heraclitus walks 2 km more than Plato per day. Together, they walk 14 km/day. How far does each walk daily?
Steps: 14/2 = 7
7-1 =Plato
7+1 = Heraclitus
7-1 =Plato and 7+1 = Heraclitus
Answer: Plato walks 6 and Heraclitus walks 8
Question 10 (Minecraft & Simultaneous Equations)
In Minecraft, iron ingots (I) and gold ingots (G) are used for crafting.
- 3I + 2G = 18
- I - G = 1
Find the value of I and G.
Steps:
based on equation 2
I=1+g
3+3g+2g=18
5G=15
G=3
if G is 3 then I=4
Answer: G=3 I=4
Let me know if you'd like any modifications or additional explanations! Good luck with your NCEA Level 1 prep! 🚀 by deepseek-chat