Finished: Math Practice Questions 30/05/2025

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 Blocks

Steve has 64 diamonds and wants to distribute them equally among his 8 friends. Write an algebraic equation to represent this situation and solve for how many diamonds each friend gets.

Steps:

64/8 = 8

Answer: 64/8 = 8

Question 2: Football Goals

In a football season, Lionel scores x goals, and Cristiano scores 3x - 5 goals. If Cristiano scores 20 goals, how many did Lionel score?

Steps:

20 -5 = 15

15/3=5

Answer: Lionel scored 5 goals

Question 3: Greek Philosophers

Plato has 2y + 10 books, while Aristotle has 5y - 20 books. If they have the same number of books, find y.

Steps:

2y+10=5y-20

30=3y

10=y

Answer: 10=y

Question 4: Minecraft Crafting

A crafting table requires 4 wooden planks. If k tables are made, write an expression for the total planks used. If 36 planks are used, solve for k.

Steps:

4k=planks used

4k=36

k=9

Answer: k=9

Question 5: Football Team

A football team has 2x + 3 wins and x - 4 losses. If total matches played are 30, find x.

Steps:

(2x+3)+(x-3) = 30

3x=30

x=10

Answer: x=10

Question 6: Socrates’ Students

Socrates teaches 3z students in the morning and z + 6 in the afternoon. If total students are 42, find z.

Steps:

3z + 6 +z = 42

4z+6=42

4z=36

z=9

Answer: z=9

Question 7: Minecraft Enchantments

An enchantment costs 5n + 2 lapis lazuli. If Alex has 47 lapis, how many enchantments (n) can she buy?

Steps:

5n+2=47

5n=45

n=9

Answer: n=9

Question 8: Football Tickets

Adult tickets cost $4m and child tickets cost $m. If 5 adults and 3 children pay $46 total, find m.

Steps:

5 x 4m+3m=46

23m=46

m=2

Answer: m=2

Question 9: Steve's Hot chickens

Steve sells 16 lava chickens and earned 64 emeralds

how much his each emerald worth

Steps:

64/16 = 4

each lava chicken is worth 4 emeralds

Answer: each lava chicken is worth 4 emeralds

Question 10: Simultaneous Equations (Football & Philosophers)

Solve:
[ 2x + y = 10 ]
[ x - y = 2 ]
(Let x = football goals, y = philosophy books.)

Steps:

based on equation 1

y=10-2x

putting this into equation 2

x+10-2x=2

-x+10=2

-x=-8

x=8

Answer: x=8

Let me know if you’d like explanations or adjustments! Good luck with your studies. ⚽📚 by deepseek-chat