Finished: Math Practice Questions 14/06/2025

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 is 42 blocks. Find the dimensions of the farm.

Steps:

42/2

21

21-3=18

18/3=6

Answer: 6 x 15

Question 2 (Football)

A football team scores 3 points for a win and 1 point for a draw. In a season, they played 20 games and earned 52 points. If they won 4 more games than they drew, how many games did they win?

Steps:

20 -4 = 16

16/2 = 8

they won 12 games

Answer: they won 12 games

Question 3 (Greek Philosophers)

Plato has twice as many books as Aristotle. Together, they have 24 books. How many books does each philosopher have?

Steps:

24/3=8

Aristotle has 8 and Plato has 16

Answer: Aristotle has 8 and Plato has 16

Question 4 (Minecraft)

A creeper drops 3 gunpowder and a skeleton drops 2 bones. If a player collects 30 items in total (gunpowder and bones) from 12 mobs, how many creepers did they defeat?

Steps:

if all the mob drops were skeletons there would only be 24 items

each creeper drops 1 more item there is a 6 difference so they killed 6 creepers

Answer: they killed 6 creepers

Question 5 (Football)

The cost of a football ticket is $5 for students and $8 for adults. If 120 tickets are sold for a total of $780, how many student tickets were sold?

Steps:

if all tickets were student then there would only be 600 dollars

each adult ticket grants 3 more dollars there is a 180 difference so they sold 180/3=60

60 adult tickets and 60 student tickets

Answer: they sold 60 student tickets

Question 6 (Greek Philosophers)

Socrates is 5 years older than Pythagoras. The sum of their ages is 53. How old is Pythagoras?

Steps:

53 -5 = 48

48/2 = 24

Answer: Pythagoras is 24 years old

Question 7 (Minecraft)

A stack of diamonds (64 diamonds) is divided between two chests. One chest has 10 more diamonds than the other. How many diamonds are in each chest?

Steps:

64 - 10 = 54

54/2 = 27

Answer: there are 27 diamonds in one chest and 37 in another chest

Question 8 (Football)

A football is kicked upward with an initial speed of 20 m/s. The height ( h ) (in meters) after ( t ) seconds is given by ( h = 20t - 5t^2 ). When will the ball hit the ground?

Steps:

h(t)=20t-5t^2

set H(t) to 0

0=20t-5t^2

0=t(20-5t)

t=4

Answer: 4 seconds

Question 9 (Greek Philosophers)

Aristotle’s daily philosophy study time is 1/2 hour more than Diogenes’. Combined, they study 3.5 hours daily. How long does Diogenes study each day?

Steps:

3.5h - 0.5h = 3h

3h/2=1.5h

Diogenes studies 1.5 hours a day

Answer: Diogenes studies 1.5 hours a day

Question 10 (Minecraft & Simultaneous Equations)

A player mines iron and coal. Iron ore gives 1 ingot per block, and coal ore gives 4 pieces per block. They mined 15 blocks total and got 36 items. How many coal blocks did they mine?

Steps:

if all ores were iron there would only be 15 items

each coal gives 3 more items

there is a 21 difference

21/3=7

the player mines 7 coal blocks

Answer: the player mines 7 coal blocks

Let me know if you'd like hints or explanations for any of these! Good luck with your NCEA prep! by deepseek-chat