Math Concepts Quiz

A rectangle has a length of 10 cm and a width of 4 cm. What is the area of the rectangle?

Answer explanation

To find the area of a rectangle, multiply the length by the width. Here, area = 10 cm * 4 cm = 40 cm². Therefore, the area of the rectangle is 40 cm².

If the area of a triangle is 24 square meters and its base is 8 meters, what is the height of the triangle?

Answer explanation

To find the height of the triangle, use the area formula: Area = 1/2 * base * height. Rearranging gives height = (2 * Area) / base. Substituting the values: height = (2 * 24) / 8 = 6 meters.

Calculate the result of -7 + 5 - 3 × 2.

Answer explanation

First, perform the multiplication: -3 × 2 = -6. Then, calculate -7 + 5 - 6. Start with -7 + 5 = -2, and finally, -2 - 6 = -8. The result is -8.

If you have -12 and you divide it by -3, what is the result?

Answer explanation

Dividing -12 by -3 gives a positive result because dividing two negative numbers results in a positive number. Therefore, -12 ÷ -3 = 4.

Place the rational numbers 1/2, -3/4, and 2/3 on a number line. Which number is the greatest?

Answer explanation

To compare 1/2, -3/4, and 2/3, convert them to decimals: 1/2 = 0.5, -3/4 = -0.75, 2/3 ≈ 0.67. On the number line, 2/3 is the greatest, followed by 1/2, and -3/4 is the least.

If -2/5 is located on a number line, what rational number would be located halfway between -2/5 and 0?

Answer explanation

To find the number halfway between -2/5 and 0, calculate the average: (-2/5 + 0) / 2 = -2/10 = -1/5. Thus, -1/5 is the rational number located halfway between -2/5 and 0.

What is the sum of 3/4 and -1/2?

Answer explanation

To find the sum of 3/4 and -1/2, convert -1/2 to -2/4. Then, add 3/4 + (-2/4) = 1/4. The correct answer is 1/4.

Subtract -5/6 from 2/3. What is the result?

Answer explanation

To subtract -5/6 from 2/3, convert 2/3 to a common denominator of 6, giving 4/6. Then, subtract: 4/6 - (-5/6) = 4/6 + 5/6 = 9/6, which simplifies to 3/2. The result is 3/2.

Multiply -2/3 by 4/5. What is the product?

Answer explanation

To multiply -2/3 by 4/5, multiply the numerators: -2 * 4 = -8, and the denominators: 3 * 5 = 15. Thus, the product is -8/15.

If you divide 3/4 by -1/2, what is the quotient?

Answer explanation

To divide fractions, multiply by the reciprocal. So, (3/4) ÷ (-1/2) = (3/4) * (-2/1) = -6/4 = -3/2. The quotient is -3/2.