Finished: Math Practice Questions 27/05/2025

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

Question 1: Minecraft Blocks

Steve has 64 diamonds and wants to distribute them equally among his 8 friends. Write an equation to represent this situation and solve for how many diamonds each friend gets.

Steps:

64/8 = 8

Answer: 64/8 = 8

Question 2: Football Goals

In a football match, Lionel scores 3 more goals than Ronaldo. If they scored a total of 11 goals together, how many goals did each player score?

Steps:

11-3 = 8

8 / 2 = 4

Ronaldo scored 4 and Lionel scored 7

Answer: Ronaldo scored 4 and Lionel scored 7

Question 3: Greek Philosophers

Plato had twice as many students as Aristotle. If they had 36 students combined, how many students did each philosopher have?

Steps:

36/3= 12

so Plato has 24 and Aristotle has 12

Answer: so Plato has 24 and Aristotle has 12

Question 4: Minecraft Crafting

To craft a sword, you need 2 sticks and 1 diamond. If you have 12 sticks and x diamonds, write an expression for how many swords you can make.

Steps:

y= how many sword you can make

when X \leq 6 then Y= X

When X > 6 then Y= 6

If ( x \leq 6 ), swords = ( x ); if ( x > 6 ), swords = 6.

Answer:

Question 5: Football Points

A football team earns 3 points for a win and 1 point for a draw. If they won w matches and drew d matches, write an expression for their total points.

Steps:

3w+d

Answer: 3w+d

Question 6: Pythagorean Theorem (Greek Math!)

A right-angled triangle in Minecraft has legs of 3 blocks and 4 blocks. Use the Pythagorean theorem to find the length of the hypotenuse.

Steps:

3^2 = 9

4^2 = 16

9 +16 = 25

5

Answer: 5

Question 7: Simultaneous Equations (Minecraft & Football)

Steve has twice as many emeralds as Alex. Together they have 24 emeralds.
Let S = Steve’s emeralds and A = Alex’s emeralds.
Write two equations and solve for S and A.

Steps:

24/3= 8

8= A

16=S

Answer: 8= A

and 16=S

Question 8: Football Substitutions

A football team has 11 players on the field and 5 substitutes. If x players get injured, write an expression for how many substitutes remain.

Steps:

5- x

Answer: 5 - x

Question 9: Greek Philosopher Ages

Socrates is 20 years older than Diogenes. In 5 years, Socrates will be twice as old as Diogenes. Find their current ages.

Steps:

Let S be Socrates

let D be Diogenes

s= d+20

D = 15 , S = 35 )

Answer: D = 15 , S = 35 )

Question 10: Minecraft Farming

A wheat farm produces 3 wheat per harvest. If you harvest x times, write an expression for the total wheat. If you need 24 wheat for bread, how many harvests are needed?

Steps:

24/3=8

Answer: you will need 8 harvest for bread

Would you like any adjustments or additional explanations for any question? Good luck with your NCEA prep! by deepseek-chat