TMU Problem Solving 2

Question 1

A store sells apples for $0.75 each and oranges for $1.25 each. If Maria spends exactly $10.00 buying a total of 10 pieces of fruit, how many apples did she buy?

Accepted Answer

5

Answer

Let a = apples and o = oranges; a + o = 10 and 0.75a + 1.25o = 10, solving gives a = 5.

Question 2

A rectangular garden has a perimeter of 48 m. If its length is twice its width, what is its area?

Accepted Answer

128 m²

Answer

Width = 8 m, length = 16 m, area = 8 × 16 = 128 m².

Question 3

Which strategy is most effective when a problem has many possible solutions and no obvious starting point?

Accepted Answer

Make an organized list of cases

Answer

Creating an organized list ensures all possibilities are examined without missing or repeating cases.

Question 4

A clock shows 3:15. What is the angle between the hour and minute hands?

Accepted Answer

7.5°

Answer

At 3:15, the minute hand is at 90° and the hour hand is at 97.5° (3×30 + 15×0.5), giving a difference of 7.5°.

Question 5

If the pattern 2, 6, 12, 20, 30 continues, what is the next term?

Accepted Answer

42

Answer

Differences are 4, 6, 8, 10, 12 — the next term is 30 + 12 = 42.

(TMU) Toronto Metropolitan University Exam Practice Test

(TMU) Toronto Metropolitan University Exam Practice Test

TMU Problem Solving 2