Math Practice Questions 20/07/2025

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. If the perimeter of the farm is 42 blocks, find the width and length.

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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 12, find the number of goals and assists.

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Question 3 (Greek Philosophers)

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

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Question 4 (Minecraft)

A creeper explosion destroys half as many blocks as a TNT explosion plus 4. If a TNT explosion destroys 20 blocks, how many blocks does the creeper destroy?

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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?

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Question 6 (Greek Philosophers)

Socrates has twice as many students as Pythagoras, and together they have 36 students. How many students does each have?

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Question 7 (Minecraft)

Alex collects diamonds and emeralds in a ratio of 5:3. If she has 40 diamonds, how many emeralds does she have?

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Question 8 (Football)

A player runs three times as far in the second half as in the first half. If the total distance run is 16 km, how far did they run in the first half?

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Question 9 (Greek Philosophers)

Aristotle’s age is three times Diogenes' age. If the sum of their ages is 64, how old is Diogenes?

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Question 10 (Minecraft & Simultaneous Equations)

In Minecraft, a sword costs 3 diamonds and 2 iron ingots, while a pickaxe costs 2 diamonds and 5 iron ingots. If Steve has 24 diamonds and 30 iron ingots, how many swords and pickaxes can he craft?

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