Finished:Math Practice Questions 6/07/2025
Here are 10 algebra practice questions tailored for a New Zealand NCEA Level 1 student, incorporating Minecraft, football, and Greek philosophers:
Question 1 (Minecraft)
Steve is building a rectangular farm in Minecraft. The length of the farm is blocks twice its width. The perimeter of the farm is 66 blocks. Find the width and length of the farm.
Steps:
66/2 = 33
33/3 = 11
11 = width and 22= length
Answer: 11 = width and 22= length
Question 2 (Football)
A football team scores 3 goals for every 2 goals conceded. In a season, they scored 15 more goals than they conceded. How many goals did they score in total?
Steps:
3x - 2x = 15 → x = 15. Total goals = 3x + 2x = 75.
Answer: 75 goals
Question 3 (Greek Philosophers)
Plato has twice as many philosophy books as Aristotle. Together, they have 36 books. How many books does each philosopher have?
Steps:
36/3 = 12
12= Aristotle
so 24 = Plato
Answer: 12= Aristotle
24 = Plato
Question 4 (Minecraft)
A creeper explosion destroys 1/4 of a player’s diamond blocks and leaves them with 27 blocks. How many diamond blocks did they have originally?
Steps:
27/3 = 9
9 times 4 = 36
Answer: 36
Question 5 (Football)
A football team scores 3 goals for every 2 goals conceded. In a season, they scored 15 more goals than they conceded. How many goals did they score in total?
Steps:
3x - 2x = 15 → x = 15. Total goals = 3x + 2x = 75.
Answer: 75 goals
Question 6 (Greek Philosophers)
Socrates has 5 more scrolls than Pythagoras. If they have 23 scrolls in total, how many scrolls does Pythagoras have?
Steps:
23 = 5
18
18/2 = 9
Pythagoras has 9
Answer: Pythagoras has 9
Question 7 (Minecraft)
A player collects redstone dust at a rate of 8 per hour and lapis lazuli at a rate of 5 per hour. After x hours, they have 52 redstone dust and lapis lazuli in total. Write an equation and solve for x.
Steps:
8 + 5 = 13
52/13 = 4
Answer: the player spent 4 hours
Question 8 (Football)
A team’s points are calculated as 3 points per win and 1 point per draw. If they have 10 wins and 4 draws, what is their total points?
Steps:
10 times 3
30 + 4 = 34 points
Answer: 34 points
Question 9 (Greek Philosophers)
Aristotle reads twice as fast as Diogenes. Together, they read 12 books in a week. How many books does Diogenes read?
Steps:
12/3 = 4
Answer: Diogenes read 4 books
Question 10 (Minecraft & Simultaneous Equations)
A player trades 3 emeralds for 1 diamond and 2 emeralds for 1 gold ingot. They have 24 emeralds and want twice as many diamonds as gold ingots. How many diamonds and gold ingots can they get?
Let:
- d = number of diamonds
- g = number of gold ingots
Equations:
1) 3d + 2g = 24
2) d = 2g
Steps:
substitute equation 2 into equation 1
3d+d=24
4d=24
d=6
d= 2g so
gold is 3
Answer: d=6 gold = 3
These questions integrate algebra with the student's interests while aligning with NCEA Level 1 standards. Let me know if you'd like any modifications! by deepseek-chat