Finished:Math Practice Questions 20/07/2025
Here are 10 algebra practice questions tailored to your interests (Minecraft, football, and Greek philosophers) for NCEA Level 1 preparation:
Question 1: Minecraft Blocks
Steve collects diamonds and emeralds in Minecraft. He has 5 more diamonds than emeralds. If he has 17 diamonds and emeralds in total, how many emeralds does he have?
Steps:
17-5=12
12/2 = 6
Steve has 6 emeralds
Answer: Steve has 6 emeralds
Question 2: Football Goals
In a football tournament, a team scores 3 points for a win and 1 point for a draw. If they played 10 games and got 22 points, how many games did they win?
Steps:
if all the games were draws they would have only gotten 10 points
each win gives them 2 more points
the difference is 12
12/2=6
they won 6 games
Answer: they won 6 games
Question 3: Greek Philosophers
Plato and Aristotle had a debate. Plato spoke for (x) minutes, and Aristotle spoke for (2x + 5) minutes. If together they spoke for 35 minutes, how long did Plato speak?
Steps:
35-5 = 30
30/3 = 10
Plato spoke for 10 minutes
Answer: Plato spoke for 10 minutes
Question 4: Minecraft Crafting
To craft a sword, you need 2 sticks and 1 diamond. If you have 12 sticks and (y) diamonds, write an expression for the maximum number of swords you can craft.
Steps:
y/2=/<swords
6< swords
min (6, y).
Answer: min (6, y).
Question 5: Football Team
A football team has (3x + 2) players. If 5 players are injured, how many players are left? Write the simplified expression.
Steps:
3X-3
Answer: 3x - 3
Question 6: Pythagoras’ Apples
Pythagoras divides his apples among his students. If he gives each student 4 apples, he has 3 left. If he gives each student 5 apples, he needs 2 more. How many students does he have?
Steps:
4x+3-students
5X-2=students
(5x−2)−(4x+3)=0
5x−2−4x−3=0
x−5=0⇒x=5
Answer: x=5
Question 7: Simultaneous Equations (Minecraft & Football)
Steve has (x) diamonds and (y) iron ingots.
- He has twice as many diamonds as iron ingots.
- If he trades 3 diamonds for 6 iron ingots, he will have the same number of each.
Write the two equations and solve for (x) and (y).
Steps:
x=2y
Diamonds: x−3
Iron ingots: y+6
These quantities are equal after the trade:
x−3=y+6
2y−3=y+6
y−3=6
y=9
x=2(9)=18
Diamonds (x): 18
Iron Ingots (y): 9
Answer: Diamonds (x): 18 and Iron Ingots (y): 9
Question 8: Football Tickets
A football match ticket costs ($2x) for adults and ($x) for children. A family buys 3 adult and 4 child tickets for $40. Find the cost of one child ticket.
Steps:
3 x 2X=6x
4 x X = 4x
total
10X
10X=40
x=4
Answer: x=4
Question 9: Socrates’ Scrolls
Socrates has (5x + 2) scrolls. His student takes (x - 3) scrolls. Write an expression for how many scrolls Socrates has left.
Steps:
4x-1
(5x + 2) - (x - 3) = 4x + 5
Answer: (5x + 2) - (x - 3) = 4x + 5
Question 10: Minecraft Farming
A farmer plants carrots and potatoes. The number of carrots is (2c), and potatoes are (c + 10). If the total number of plants is 70, how many potatoes are there?
Steps:
70-10 = 60
60/3 = 20
C=20
20+10 =30
Answer: 30
Let me know if you'd like any modifications or additional explanations! Good luck with your NCEA Level 1 prep! by deepseek-chat