Finished:Math Practice Questions 19/07/2025
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 has 60 diamond blocks. He gives some to Alex and keeps 5 times as many as he gave away. How many blocks did he give to Alex?
Steps:
60/6=10
10 diamond blocks
Answer: 10 diamond blocks
Question 2: Football Goals
In a football match, a team scored 3 more goals in the second half than in the first half. The total goals scored were 17. How many goals were scored in the first half?
Steps:
17-3 = 14
14/2=7
in second half they scored 10 and in the first half they scored 7
Answer: They scored 7 goals in the first half
Question 3: Greek Philosophers
Plato had twice as many students as Aristotle. Together, they had 36 students. How many students did Aristotle have?
Steps:
36/3 = 12
Aristotle has 12 students and Plato has 24 students
Answer: Aristotle has 12 students and Plato has 24 students
Question 4: Minecraft Crafting
To craft a sword, you need 2 sticks and either 2 diamonds or 3 iron ingots. If a player has 24 sticks and 18 iron ingots, how many swords can they make?
Steps:
18/2 = 9
they can make 9 swords at most
Answer: they can make 9 swords at most
Question 5: Football Points
A football team earns 3 points for a win and 1 point for a draw. If they won 5 matches and drew 4, what is their total points?
Steps:
5 times = 15
15+4 = 19
Answer: 19 points
Question 6: Pythagorean Theorem (Greek Connection)
Socrates draws a right-angled triangle with legs of 6 cm and 8 cm. What is the length of the hypotenuse?
Steps:
6x6 = 36
8x8=64
64+36=100
squarerootof100=
they hypentuse is ten
Answer: hypentuse is 10
Question 7: Minecraft Farming
A farmer plants carrots in rows. Each row has 8 carrots. If he plants 7 rows, how many carrots does he have in total?
Steps:
7 times 8 = 56
Answer: 56 carrots
Question 8: Football Substitutes
A football team has 11 players on the field and 5 substitutes. If 3 substitutes are used, how many players are left on the bench?
Steps:
5-3 = 2
there are 2 substitutes left
Answer: there are 2 substitutes left
Question 9: Simultaneous Equations (Minecraft & Football)
Let:
- ( x ) = number of diamonds
- ( y ) = number of footballs
Solve:
[ 2x + y = 20 ]
[ x - y = 4 ]
Steps:
based on equation 1 x=4+y
putting this into equation 2
8+2y+y=20
8+3y=20
3y+12
y=4
x=8
Answer: y=4 and x=8
Question 10: Greek Philosopher Ages
Aristotle is 10 years older than Plato. In 5 years, their combined age will be 70. How old is Plato now?
Steps:
70-10=60
60-5x2= 50
50/2=25
Plato is 25 years old
Answer: Plato is 25 years old right now
Let me know if you'd like any adjustments or additional explanations! Good luck with your NCEA Level 1 preparation! by deepseek-chat