Finished:Math Practice Questions 4/07/2025

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.

Steps:

42-6

36

36/4 = 9

length is 9 + 3 s0 21

width is 9

Answer: width is 9 length is 21

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 15, how many goals and assists did the player make?

Steps:

15 - 3 = 12

12/2 = 6

Let goals = G, assists = A. G = 2A + 3 and G + A = 15. Solve to find A = 4, G = 11.

Answer: 4 assists

Question 3 (Greek Philosophers)

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

Steps:

Answer:

36/ 2 = 12

12 = Aristotle

so the rest is plato's with is 24

Question 4 (Minecraft)

A creeper explosion destroys 5 fewer blocks than three times the number of blocks a TNT explosion destroys. If a creeper and TNT explosion together destroy 43 blocks, how many blocks does each destroy?

Steps:

48 / 4 = 12

12 x 3 -5 = creeper

31 = creeper

tnt = 12

Answer: 31 = creeper

tnt = 12

Question 5 (Football)

A football team wins 4 more matches than they lose. If they played 20 matches in total, how many did they win and lose?

Steps:

20 - 4

16 16/2 =

8= loses and 12 = wins

Answer: 8 loses and 12 wins

Question 6 (Greek Philosophers)

Socrates has half as many students as Pythagoras, and together they have 24 students. How many students does each have?

Steps:

24 / 3 = 8

8= Socrates

so 16 = Pythagoras

Answer: 8= Socrates

16 = Pythagoras

Question 7 (Minecraft)

Alex mines twice as much iron as gold in a day. If she mines a total of 18 ores, how much iron and gold did she mine?

Steps:

18 / 3 = 6

Alex go t 6 gold ores

and 12 iron ores

Answer: Alex go t 6 gold ores and 12 iron ores

Question 8 (Football)

A football costs $5 more than a training cone. If 2 footballs and 3 cones cost $55 in total, find the cost of one football and one cone.

Steps: 55 - 15 =

40/ 5 = 8

8 per cone and then

8 +5 per football

13 per football

Answer: 13 per football and 8 per cone

Question 9 (Greek Philosophers)

Aristotle writes three times as many scrolls as Heraclitus, and together they write 48 scrolls. How many scrolls does each write?

Steps:

48/4 = 12

Heraclitus wrote 12

12 x 3 = Aristotle

Aristotle wrote 36

Answer: Aristotle wrote 36 Heraclitus wrote 12

Question 10 (Minecraft)

A diamond pickaxe lasts 4 times as long as a stone pickaxe. If both pickaxes together last 50 uses, how many uses does each last?

Steps:

50 / 5 = 10

stone pick is 10 uses and diamond is 40

Answer: stone pick is 10 uses and diamond is 40

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