Finished:Math Practice Questions 4/07/2025
Here are 10 algebra practice questions tailored to your interests (Minecraft, football, and Greek philosophers) for NCEA Level 1 preparation:
Question 1 (Minecraft - Blocks and Equations)
Steve has 60 blocks in Minecraft. He gives some to Alex and keeps twice as many as he gave away. Let ( x ) be the number of blocks he gave to Alex. Write an equation to represent this situation and solve for ( x ).
Steps:
60/3=X
20 = x
Answer: Steve gave Alex 20 blocks
Question 2 (Football - Goal Scoring)
In a football match, Lionel scores 3 more goals than Cristiano. Together, they score 11 goals. Write two equations to represent this situation and solve them simultaneously to find how many goals each scored.
Steps:
11-3 = 8
8/2 = 4
Ronaldo scored 4 and Messi scores 7
Answer: Ronaldo scored 4 and Messi scores 7
Question 3 (Greek Philosophers - Ages)
Plato was born 20 years after Socrates. The sum of their ages at a certain time was 80. solve them to find their ages.
Steps:
80 +20 = 100
100/2 = 50
Socrates is 50
so Plato is 30
Answer: Socrates is 50 and Plato is 30
Question 4 (Minecraft - Crafting Items)
To craft a sword in Minecraft, you need 2 sticks and 1 diamond. If you have 12 sticks and ( y ) diamonds, write an inequality to show the maximum number of swords you can craft.
Steps:
x≤6 and x≤y
Answer: x≤min(6,y)
Question 5 (Football - Ticket Sales)
A football stadium sells adult tickets for \$20 and child tickets for \$10. If 50 tickets are sold for a total of \$800, write two equations and solve them to find how many adult and child tickets were sold.
Steps:
a+c=50
20a+10c=800
c=50−a
20a+10(50−a)=800
20a+500−10a=800
10a=300
a=30
Answer:
- Adult tickets sold: 30
- Child tickets sold: 20
Question 6 (Greek Philosophers - Book Pages)
Aristotle wrote twice as many pages as Pythagoras. Together, they wrote 450 pages. Write an equation and solve for how many pages each wrote.
Steps:
450 / 3 = 150
150 = Pythagoras
300 = Aristotle
Answer: 150 = Pythagoras
300 = Aristotle
Question 7 (Minecraft - Farming Wheat)
A Minecraft farmer harvests wheat in stacks of 64. If he has ( 3x + 5 ) stacks and needs at least 200 stacks for a project, write an inequality and solve for ( x ).
Steps:
3x+5≥200
3x≥200−5
3x≥195
x≥195/3
x≥65
Answer:
he farmer needs at least 65 full sets of 3 stacks (plus 5 extra) to reach or exceed 200 stacks.
Question 8 (Football - Player Stats)
A football player’s goals per game ratio is ( \frack{3}{2} ). If he has scored 15 goals, write an equation and solve for how many games he has played.
Steps: The ratio is goals/games = 3/2. For 15 goals, set up 15/games = 3/2 games = 10.
Answer: 10 games
Question 9 (Greek Philosophers - Students)
Socrates had 5 more students than Diogenes. Together, they taught 35 students. Write two equations and solve them to find how many students each had.
Steps:
- Let Diogenes’ students = D, Socrates’ = D + 5.
- D + (D + 5) = 35 → 2D = 30 → D = 15.
- Socrates has 20 students.
which means Diogenes had 15
Answer:
Socrates has 20 students.
which means Diogenes had 15
Question 10 (Minecraft - Enchantment Costs)
An enchantment in Minecraft costs 3 lapis lazuli and 2 experience levels. If you have 15 lapis lazuli and ( x ) experience levels, write an inequality to show the maximum number of enchantments you can perform.
Steps:
Answer: n≤min(5,2x)
Let me know if you'd like any adjustments or additional explanations! Good luck with your NCEA Level 1 prep! by deepseek-chat