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Which of the following numbers are prime? Select all that apply.
Correct answer(s):
- 11
- 17
Express the fraction 3/8 as a decimal.
Correct answer(s):
- 0.375
In the number 47,803 find the value of the digit 7.
Correct answer(s):
- 7,000
Determine the highest common factor (HCF) or greatest common divisor (GCD) of 84 and 126.
Correct answer(s):
- 42
Find the least common multiple (LCM) of 12, 15, and 20.
Correct answer(s):
- 60
What is the highest power of 2 that divides 160 evenly (i.e., the largest 2^k that is a factor of 160)?
Correct answer(s):
- 32
Express the recurring decimal 0.363636… (0.36) as a fraction in simplest form.
Correct answer(s):
- 4/11
Compute 3/4 + 5/6 and give the result as a single fraction in simplest form.
Correct answer(s):
- 19/12
Convert the fraction 7/8 to its decimal form.
Correct answer(s):
- 0.875
What is the place value of the digit 6 in the number 56,304
Correct answer(s):
- 6,000
Find all digits a (0–9) such that the three-digit number 5a2 is divisible by 3. Select all that apply.
Correct answer(s):
- 2
- 5
- 8
Which number is greater: 3.2 × 10^4 or 2.8 × 10^5
Correct answer(s):
- 2.8 × 10^5
Determine whether √49 is rational or irrational.
Correct answer(s):
- Rational
Express 0.000452 in proper scientific notation.
Correct answer(s):
- 4.52 × 10^-4
Find the least common multiple (LCM) of 12 and 18.
Correct answer(s):
- 36
Select all pairs of positive integers that have HCF 6 and LCM 180
Correct answer(s):
- 12 and 90
- 18 and 60
- 30 and 36
A price increases from $240 to $300. What is the percentage increase
Correct answer(s):
- 25%
Express 0.555… (repeating) as a fraction in lowest terms.
Correct answer(s):
- 5/9
What is the remainder when 2,345 is divided by 7
Correct answer(s):
- 0
Find the place value of the digit 6 in the number 46,309.
Correct answer(s):
- 6,000