PI Practice 4 — Questions and Answers
Question 1: A rectangle has a perimeter of 54 cm and a length of 18 cm. What is its width?
- 6 cm
- 9 cm (Correct answer)
- 12 cm
- 15 cm
Correct answer: 9 cm
Perimeter = 2(l + w), so 54 = 2(18 + w), meaning w = 27 − 18 = 9 cm.
Question 2: Which shape completes the matrix if the third row follows the same rule as the first two rows (each row has a triangle, circle, and square in some order)?
- Triangle (Correct answer)
- Circle
- Square
- Pentagon
Correct answer: Triangle
If the first two rows each contain one triangle, one circle, and one square, the missing shape in the third row must be a triangle.
Question 3: MEND is to REPAIR as RAZE is to ___
- Build
- Restore
- Demolish (Correct answer)
- Elevate
Correct answer: Demolish
Mend and repair are synonyms meaning to fix; raze means to demolish completely.
Question 4: If today is Wednesday, what day will it be 100 days from now?
- Monday
- Tuesday
- Wednesday
- Friday (Correct answer)
Correct answer: Friday
100 ÷ 7 = 14 remainder 2, so 100 days later is 2 days after Wednesday = Friday.
Question 5: All athletes exercise regularly. Maria exercises regularly. Which conclusion is valid?
- Maria is an athlete
- Maria may or may not be an athlete (Correct answer)
- Maria is not an athlete
- All people who exercise are athletes
Correct answer: Maria may or may not be an athlete
Exercising regularly is a necessary but not sufficient condition for being an athlete in this argument.
Question 6: What is the next number: 1, 4, 9, 16, 25, ___?
- 30
- 34
- 36 (Correct answer)
- 49
Correct answer: 36
These are perfect squares: 1², 2², 3², 4², 5², so next is 6² = 36.
Question 7: A project takes 6 workers 8 days to complete. How many days would it take 4 workers at the same rate?
- 10 days
- 12 days (Correct answer)
- 14 days
- 16 days
Correct answer: 12 days
Total work = 6 × 8 = 48 worker-days; 48 ÷ 4 workers = 12 days.
PI Practice 4
A rectangle has a perimeter of 54 cm and a length of 18 cm.
What is its width?