Finished: Math Practice Questions 17/07/2025
Here are 10 algebra practice questions tailored for your NCEA Level 1 preparation, incorporating Minecraft, football, and Greek philosophers:
Question 1 (Minecraft)
Steve is building a rectangular farm in Minecraft. The length is 3 blocks more than twice the width. The perimeter of the farm is 54 blocks. Find the dimensions of the farm.
Steps:
Let width = W, length = 2W + 3. Perimeter = 2(W + 2W + 3) = 54 → 6W + 6 = 54 → W = 8, L = 19.
Answer: The width is 8 and the length is 19
Question 2 (Football)
A football team scores 3 points for every goal and 1 point for every corner. In a match, they scored a total of 17 points from 7 scoring actions (goals + corners). How many goals did they score?
Steps:
if all were corners there would only be 7 points
there is a ten point difference
each goal gives 2 more points
10/2 = 5
they scored 5 goals
Answer: they scored 5 goals
Question 3 (Greek Philosophers)
Plato has twice as many philosophy books as Aristotle. Together, they have 24 books. How many books does each philosopher have?
Steps:
24/3 = 8
Aristotle has 8 books and Plato has 16 books
Answer: Aristotle has 8 books and Plato has 16 books
Question 4 (Minecraft)
A creeper drops 3 gunpowder and a skeleton drops 2 bones. If a player collects 17 items in total from 8 mobs (only creepers and skeletons), how many creepers did they defeat?
Steps:
if all the mobs were skeletons there would be 16 items.
each creeper drops one more item
there is a one item difference so there is 1 creeper
there are 7 skeletons and 1 creeper
Answer: The amount of creepers killed is 1
Question 5 (Football)
The cost of a football ticket is $5 for students and $8 for adults. If 12 tickets are sold for a total of $78, how many adult tickets were sold?
Steps:
if all tickets where bought buy students they would have only earned 60 dollars
each adult ticket earns 3 more then a student ticket.
there is a 18 point difference.
18/3 = 6
6 adult tickets were sold
Answer: 6 adult tickets were sold
Question 6 (Greek Philosophers)
Socrates solves 5 philosophical riddles per day, while Diogenes solves 3 per day. After how many days will Socrates have solved 10 more riddles than Diogenes?
Steps:
each day Socrates solves 2 more then Diogenes
10/2 = 5
it will take 5 days for Socrates to solve ten more philosophical riddles.
Answer: it will take 5 days for Socrates to solve ten more philosophical riddles.
Question 7 (Minecraft)
A stack of diamonds (64 diamonds) is divided between two players. Player A gets 10 more diamonds than Player B. How many diamonds does each player get?
Steps:
64-10 = 54
54/2 = 27
27+10= 37
Answer: player A gets 37 and player b gets 27
Question 8 (Football)
A football is kicked upward with an initial speed of 20 m/s. The height (h) after t seconds is given by:
[ h = 20t - 5t^2 ]
At what time(s) will the ball be 15 meters high?
Steps:
20t - 5t² = 15. Rearrange to 5t² - 20t + 15 = 0, then solve for t. The solutions are t = 1 and t = 3.
Answer: t = 1 and t = 3
Question 9 (Greek Philosophers)
Pythagoras has a collection of triangles and squares. He has 20 shapes in total, with 64 sides altogether. How many triangles does he have? (A triangle has 3 sides, a square has 4.)
Steps:
if all were triangle there would be 60 sides
each square gives one more side
there is a 4 difference so there is 4 squares and 16 triangles
Answer: 16 triangles
Question 10 (Minecraft & Football)
A Minecraft player and a football player compare their scores. The football player’s score is 5 less than double the Minecraft player’s score. Together, they scored 40 points. Find each player’s score.
Steps:
40+5 = 45
45/3 = 15
the Minecraft player got 15 and the football player got 25
Answer: the Minecraft player got 15 and the football player got 25
These questions cover linear equations, simultaneous equations, and quadratics, aligning with NCEA Level 1 algebra standards while incorporating your interests. Let me know if you'd like any modifications! by deepseek-chat