LET Elementary Mathematics (General Education) Reviewer
8 Mathematics (General Education) practice questions for the Licensure Examination for Professional Teachers — Elementary, each with the correct answer and an explanation of why it's right.
Mathematics (General Education) Practice Questions with Answers
- 1easy
How many hectares are there in a field measuring 980m wide and 1,300m long?
- A.120 ha
- B.128 ha
- C.115 ha
- D.100 ha
- E.127.4 ha
Show answer & explanation
Answer: E. 127.4 ha
First, calculate the area in square meters: 980m × 1,300m = 1,274,000 m². Since 1 hectare equals 10,000 m², divide 1,274,000 by 10,000 to get 127.4 hectares.
- 2easy
3.54 is multiplied by 10 to the fifth power, what would be the value?
- A.3.054
- B.30.54
- C.305.40
- D.35,400
- E.354,000
Show answer & explanation
Answer: E. 354,000
Multiplying 3.54 by 10 to the fifth power (10^5 = 100,000) means moving the decimal point 5 places to the right. Moving the decimal 5 places right transforms 3.54 into 354,000.
- 3easy
If the short hand of the clock is at 4, what is the degree of its' angle?
- A.90
- B.120
- C.130
- D.150
- E.110
Show answer & explanation
Answer: B. 120
A clock face is divided into 12 hours, and a complete circle is 360 degrees. Each hour represents 360÷12 = 30 degrees. When the short hand is at 4, it has moved 4 hours from 12 o'clock, so the angle is 4 × 30 = 120 degrees.
- 4easy
There are two numbers whose sum is 48. One of the numbers is greater by 6. What are the numbers?
- A.23, 24
- B.21, 27
- C.22, 26
- D.23, 26
- E.20, 28
Show answer & explanation
Answer: B. 21, 27
Let x be the smaller number. Then the larger number is x + 6. Since their sum is 48, we have x + (x + 6) = 48, which gives 2x + 6 = 48, so 2x = 42, and x = 21. Therefore, the two numbers are 21 and 27.
- 5easy
My uncle's weight is two times that of my nephew. My aunt's weight is half that of my nephew. What is the total weight of the three? Which of the following formulae will apply for the correct answer?
- A.
- B.
- C.$(2x) + (x) + (1/2x)$
- D.
Show answer & explanation
Answer: C. $(2x) + (x) + (1/2x)$
Let x represent the nephew's weight. The uncle weighs 2x (twice the nephew), the nephew weighs x, and the aunt weighs ½x (half the nephew). Adding these three expressions together gives (2x) + (x) + (½x), which is the total weight.
- 6easy
Which of the following fraction is < than 1/3?
- A.22/13
- B.15/46
- C.4/11
- D.33/98
- E.103/203
Show answer & explanation
Answer: B. 15/46
To determine which fraction is less than 1/3, convert each fraction to a decimal or compare by cross-multiplication. For 15/46: 15 × 3 = 45 and 46 × 1 = 46, so 45 < 46, meaning 15/46 < 1/3. All other options are greater than or equal to 1/3.
- 7easy
In hours, the minute hand of a clock rotates through an angle of how many degrees?
- A.60
- B.90
- C.180
- D.360
- E.540
Show answer & explanation
Answer: E. 540
The minute hand completes one full rotation (360°) in 60 minutes. In 1½ hours (90 minutes), it rotates 1.5 times around the clock face, which equals 1.5 × 360° = 540°.
- 8easy
When the fractions 2/3, 5/7, 8/11 and 9/13 are arranged in an ascending order, the result would be?
- A.8/11, 5/7, 9/13, 2/3
- B.5/7, 8/11, 2/3, 9/13
- C.2/3, 8/11, 5/7, 9/13
- D.2/3, 9/13, 5/7, 8/11
- E.9/13, 2/3, 8/11, 5/7
Show answer & explanation
Answer: D. 2/3, 9/13, 5/7, 8/11
To arrange fractions in ascending order, convert them to decimals or find a common denominator. Converting to decimals: 2/3 ≈ 0.667, 9/13 ≈ 0.692, 5/7 ≈ 0.714, 8/11 ≈ 0.727. In ascending order: 2/3 < 9/13 < 5/7 < 8/11, which corresponds to option D.
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