Two Truths and a Lie - Mathematics (Easy Version)

Can you identify the lie among the three statements concerning elementary math in each of these questions?

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Last updated: April 2, 2022

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First submitted	April 2, 2022
Times taken	60
Average score	80.0%
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1. Which statement is false?

For all values of a and b: a + b = b + a ✓

24 + 37 = 51 ✓

1 meter equals 100 centimeters ✓

24 + 37 = 61 - don't forget to carry the 1

2. Which statement is false?

10 ÷ 3 = 3 ... 1 ✓

3 + 5 × 4 = 3 + 20 = 23 ✓

1034 is greater than 1043 ✓

1034 is less than 1043

3. Which statement is false?

Rounding 37.5 to the nearest integer gives 37 ✓

1 centimeter equals 10 millimeters ✓

The number 15 contains 1 ten and 5 ones ✓

It actually yields 38 because if the most significant digit being dropped is 5 or higher then you must round up

4. Which statement is false?

9876 is greater than 6789 ✓

The number 1,234,567 is read as: one million, two hundred and thirty-four thousand, five hundred and sixty-seven ✓

1 kilometer equals 1000 meters, so 1 square kilometer equals 1000 square meters ✓

1 square kilometer equals 1,000,000 square meters because everything is squared

5. Which statement is false?

Area of a triangle = ½ah, where a is the base and h is the height ✓

3 × 50% = 3 × 50 ÷ 100 = 150 ÷ 100 = 1.5 ✓

Area of a circle = 2πr, where r is the radius ✓

Area of a circle = πr²

6. Which statement is false?

The expression 25 ÷ 4 + 1 does not equal any numerical value because 25 is not divisible by 4 ✓

An obtuse angle is one that is greater than 90° but less than 180° ✓

A cube has six sides ✓

If m is not "divisible" by n, then the expression m ÷ n cannot yield an integer, but n can still divide m and give a fraction/decimal

7. Which statement is false?

The following things are the same: ¼, 1 ∶ 4, 1 ÷ 4 ✓

0.01 + 0.002 = 0.012 ✓

4 × 7 = 28 ✓

¼ is a fraction - it's a number; 1 ∶ 4 is a ratio - it describes a relationship; 1 ÷ 4 is an expression, which is not a number but can yield a numerical result

8. Which statement is false?

The largest integer you can make with the digits 0, 1, 2, and 3 is 3210 ✓

24 × 12 = 24 × 1 + 24 × 2 = 24 + 48 = 72 ✓

The greatest common divisor (GCD) of 8 and 12 is 4 ✓

24 × 12 = 24 × 10 + 24 × 2 = 240 + 48 = 288

9. Which statement is false?

1 ÷ 7 = 0.143 to 3 significant figures ✓

30 ÷ (2 × 3) = 30 ÷ 2 × 3 = 15 × 3 = 45 ✓

30% of 10 is 3 ✓

30 ÷ (2 × 3) = 30 ÷ 2 ÷ 3 = 15 ÷ 3 = 5

10. Which statement is false?

4 + 8 − 3 = 12 − 3 = 9 ✓