Finished: Math Practice Questions 7/06/2025

Here are 10 algebra practice questions tailored for a New Zealand student preparing for NCEA Level 1, incorporating Minecraft, football, and Greek philosophers:

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 54 blocks, find the width and length.

Steps:

54/2=27

27-3=24

24/3

8

Answer: width is 8 and length is 19

Question 2 (Football)

A football team scores 3 points for a win and 1 point for a draw. In a season, the team played 20 matches and earned a total of 52 points. If they won ( w ) matches and drew ( d ) matches, solve them find ( w ) and ( d ).

Steps:

if all the points were draws they would have earned only 20 points.

every win gives them 2 extra points

so they would need 16 wins

Answer: 16 wins and 4 ties

Question 3 (Greek Philosophers)

Plato has twice as many philosophy books as Aristotle. Together, they have 27 books. How many books does each philosopher have?

Steps:

27/3=9

9 times 2 = Plato

Answer: Plato has 18 and Aristotle has 9

Question 4 (Minecraft)

A creeper explosion destroys a stack of stone blocks. If the number of destroyed blocks is 5 less than half of 64, how many blocks were destroyed?

Steps:

64/2 = 32

32-5

27

27 blocks were destroyed

Answer: 27

Question 5 (Football)

The number of goals scored by a striker in a season is given by ( 2x + 3 ), where ( x ) is the number of matches played. If the striker scored 15 goals, how many matches did they play?

Steps:

15-3=12

12=2x

x=6

Answer: x=6

Question 6 (Greek Philosophers)

Socrates has some golden coins. He gives away 12 coins and still has 5 more than half of his original amount. How many coins did he start with?

Steps:

T= original coins

T-12 = 0.5t+5

0.5T=17

t=34

Answer: original coins=34

Question 7 (Minecraft)

Alex mines diamonds at a rate of 4 diamonds per hour. If she already has 10 diamonds, how many hours will it take for her to have at least 30 diamonds?

Steps:

30-10=20

20/4

5

Answer: 5hours

Question 8 (Football)

A football is kicked into the air. Its height ( h ) (in meters) after ( t ) seconds is given by ( h = -5t^2 + 20t ). After how many seconds will the ball hit the ground?

Steps:

h(t)=−5t2+20t=0

−5t2+20t=0

t(−5t+20)=0

t=0

−5t+20=0⇒t=4

T=4

Answer: 4 seconds

Question 9 (Greek Philosophers)

Pythagoras has a collection of books. If he has 2 times more then Plato and there is 30 books find how many books each person has has

Steps:

30/3

10

10x 2

20

Answer: Pythagoras has 20 and Plato has 10

Question 10 (Minecraft & Simultaneous Equations)

In a Minecraft chest, there are emeralds and diamonds. The total number of gems is 24. If the number of emeralds is 3 more than twice the number of diamonds, find how many emeralds and diamonds are in the chest.

Steps:

24-3

21

21/3=7

7 diamonds and 17 emeralds

Answer: 7 diamonds and 17 emeralds

Let me know if you'd like any modifications or additional explanations! by deepseek-chat