Finished:Math Practice Questions 16/07/2025

Here are 10 algebra practice questions tailored for your NCEA Level 1 preparation, 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 dimensions of the farm.

Steps:

Let width = W, length = 2W + 3. Perimeter = 2(W + 2W + 3) = 54 → 6W + 6 = 54 → W = 8, L = 19.

Answer: The width is 8 and the length is 19

Question 2 (Football)

A football team scores 3 points for a win (W) and 1 point for a draw (D). In a season, they played 20 matches and earned 42 points in total.
Write two equations to represent this situation and solve them to find how many matches they won.

Steps:

if all were draw they would have only gotten 20 points

each win gives them 2 more points

there is a 22 points difference

22/2 = 11

they got 11 wins and 9 draws

Answer: they got 11 wins and 9 draws

Question 3 (Greek Philosophers)

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

Steps:

36/3 = 12

Plato has 12 and Socrates has 24

Answer: Plato has 12 and Socrates has 24

Question 4 (Minecraft)

Alex collects diamonds (D) and emeralds (E). She has 5 more emeralds than diamonds, and the total number of gems is 27. How many diamonds does she have?

Steps:

27-5=22

22/2= 11

Alex has 11 diamonds and 16 emeralds

Answer: Alex has 11 diamonds and 16 emeralds

Question 5 (Football)

A football is kicked into the air. Its height (h) in meters after t seconds is given by:
h = -5t² + 20t
At what time does the ball hit the ground?

Steps:

−5t2+20t=0

t(−5t+20)=0

T= 4 seconds

Answer: T= 4 seconds

Question 6 (Greek Philosophers)

Aristotle has three times as many students as Pythagoras. If they have 48 students in total, how many students does Pythagoras have?

Steps:

48/4 = 12

Pythagoras has 12 and Aristotle has 36

Answer: Pythagoras has 12 and Aristotle has 36

Question 7 (Minecraft)

A creeper explosion destroys x blocks per second. After 5 seconds, 45 blocks are destroyed. Write an equation and solve for x.

Steps:

45/5=9

9 blocks every second

Answer: 9 blocks every second

Question 8 (Football)

The cost of a football jersey is $15 more than a pair of shorts. If 2 jerseys and 3 shorts cost $165, find the price of one jersey.

Steps:

165 - 2 times 15 =

135 /5 = 27

27 per short and 42 per jersey

Answer: 42 per jersey

Question 9 (Greek Philosophers)

Plato’s age is half of Socrates’ age. If their combined age is 72 years, how old is Socrates?

Steps:

72/3 = 24

Plato is 24 and Socrates is 48

Answer: Plato is 24 and Socrates is 48

Question 10 (Minecraft)

A stack of 64 cobblestones is divided between two chests. One chest has 12 more cobblestones than the other. How many cobblestones are in each chest?

Steps:

64-12= 52

52/2 = 26

26+12=38

one chest has 38 and the other has 26

Answer: one chest has 38 and the other has 26

These questions cover linear equations, simultaneous equations, and quadratic equations—key topics for NCEA Level 1. Let me know if you'd like any modifications! by deepseek-chat