Mathematics Skills & Reasoning Flashcards

What is the value of 3(4 + 2) - 5?

Answer: 13

To solve 3(4 + 2) - 5, follow the order of operations (PEMDAS/BODMAS). First, calculate the expression inside the parentheses: 4 + 2 = 6. Next, perform the multiplication: 3 * 6 = 18. Finally, perform the subtraction: 18 - 5 = 13.

What is 40% of 120?

Answer: 48

To find 40% of 120, convert the percentage to a decimal by dividing by 100, which gives 0.40. Then, multiply this decimal by the number: 0.40 * 120. The result of this calculation is 48.

If a rectangle has a length of 10 and a width of 4, what is its area?

Answer: 40

The area of a rectangle is calculated by multiplying its length by its width. Given a length of 10 units and a width of 4 units, the area is simply 10 multiplied by 4. Therefore, the area of the rectangle is 40 square units.

What is the next number in the sequence: 3, 6, 12, 24, ___?

Answer: 48

This is a geometric sequence where each term is obtained by multiplying the previous term by 2. Following this pattern, 3 * 2 = 6, 6 * 2 = 12, and 12 * 2 = 24. Therefore, the next number in the sequence is 24 * 2, which equals 48.

If x = 5, what is the value of 2x + 3?

Answer: 13

To find the value of the expression 2x + 3 when x = 5, substitute 5 for x. This gives 2(5) + 3. First, perform the multiplication: 2 * 5 = 10. Then, add 3: 10 + 3 = 13.

A bag contains 3 red balls, 2 blue balls, and 5 green balls. What is the probability of randomly picking a blue ball?

Answer: 1/5

To calculate the probability of picking a blue ball, first determine the total number of balls: 3 red + 2 blue + 5 green = 10 balls. There are 2 blue balls. The probability is the number of favorable outcomes (blue balls) divided by the total number of outcomes (all balls), which is 2/10, simplifying to 1/5.