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Which of the following numbers are rational? Select all that apply.
Correct answer(s):
- √16
- 0.75
Find the smallest digit d (0–9) such that the four-digit number formed by 1, 2, 3 and d (i.e., 123d) is divisible by 3.
Correct answer(s):
- 0
Express the decimal 0.375 as a fraction in simplest form.
Correct answer(s):
- 3/8
Which of the following numbers are prime? Choose all that apply.
Correct answer(s):
- 29
- 31
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 18 and 24.
Correct answer(s):
- 72
Calculate the sum of the first 20 natural numbers.
Correct answer(s):
- 210
Select all products from the list that result in a positive number.
Correct answer(s):
- (-4) × (-5)
- 7 × 8
- (-2) × (-2)
Find the highest common factor (HCF) of 84, 126, and 210.
Correct answer(s):
- 42
A number is increased by 20% to become 360. Find the original number.
Correct answer(s):
- 300
Find the remainder when 10^6 + 10^3 + 1 is divided by 9.
Correct answer(s):
- 3
Express the fraction 7/8 as a decimal number.
Correct answer(s):
- 0.875
Select all numbers that are rational.
Correct answer(s):
- 0.333... (repeating)
- -5
Select all prime numbers from the list.
Correct answer(s):
- 29
- 37
Find the least common multiple (LCM) of 18 and 24.
Correct answer(s):
- 72
Find the value of the digit 5 in the number 2,456,031.
Correct answer(s):
- 50,000
If 5 + ? = 5 × 3 − 4, find the missing number.
Correct answer(s):
- 6
Express 12.5% as a fraction in simplest form.
Correct answer(s):
- 1/8
Round 347 to the nearest ten.
Correct answer(s):
- 350
Calculate the product of 27 and 14, then find the sum of the digits of the result.
Correct answer(s):
- 18