Finished:Math Practice Questions 10/07/2025

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 54 blocks. Find the width and length of the farm.

Steps:

2L+2W=54

L+W=27

2W+3+W=27

3W=24

W=8

L= 8+8+3 = 19

Answer: L=19 and W=8

Question 2 (Football)

A football team scores 3 goals for every 2 goals conceded. In a season, they scored 15 more goals than they conceded. How many goals did they score in total?

Steps:

15 times 3 = 45

The correct ratio is 3:2 (scored:conceded), so 3x - 2x = 15 → x = 15

Answer: 45

Question 3 (Greek Philosophers)

Plato has twice as many philosophy books as Aristotle. Together, they have 36 books. How many books does each philosopher have?

Steps:

36/3 = 12

Aristotle has 12 and Plato has 24

Answer: Aristotle has 12 and Plato has 24

Question 4 (Minecraft)

A creeper drops 5 gunpowder when defeated. If Alex defeats x creepers and Steve defeats 3 more than Alex, and together they collect 45 gunpowder, how many creepers did Alex defeat?

Steps:

5×x+5×(x+3)=45.

5x+5(x+3)=45⇒5x+5x+15=45⇒10x+15=45.

Subtract 15 from both sides:

10x=30.

Divide by 10:

x=3.

Alex defeated 3 creepers.

Answer: Alex defeated 3 creepers.

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: the ball hits the ground at t=4 seconds

Question 6 (Greek Philosophers)

Socrates has 3 more scrolls than Pythagoras. If the total number of scrolls is 17, how many scrolls does Pythagoras have?

Steps:

17-3 = 14

14/2 = 7

Pythagoras has 7

Answer: Pythagoras has 7

Question 7 (Minecraft)

A diamond pickaxe costs 3 diamonds and 2 sticks. If a player has 24 diamonds and wants to make as many pickaxes as possible, how many sticks do they need if they use all their diamonds?

Steps:

24/3 = 8

8 times 2 = 16

Answer: The player need 16 sticks

Question 8 (Football)

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

Steps:

5 times 3 = 15

15 + 2 = 17

Answer: 17 points

Question 9 (Greek Philosophers)

Aristotle says: "A number squared plus twice the number equals 24." What is the number?

Steps:

x2+2x=24

x2+2x−24=0

(x+6)(x−4)=0

Answer: 4

Question 10 (Simultaneous Equations - Minecraft & Football)

In Minecraft, 1 diamond = 4 iron ingots. In a trade, a player gets 5 diamonds and 3 iron ingots for 2 enchanted footballs (from a mod).
If another trade gives 2 diamonds and 7 iron ingots for 1 enchanted football, how many iron ingots is 1 diamond worth?

Steps:

trick question it says 1 diamond is worth 4 ingots at the start

Answer: 4 iron ingots

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