• 12

• 81

• 64

• 27

Answer explanation

To find the value of 3^4, calculate 3 multiplied by itself 4 times: 3 x 3 x 3 x 3 = 81. Therefore, the correct answer is 81.

Tags

CCSS.6.EE.A.1

Find the area of a triangle with a base of 10 cm and a height of 6 cm.

• 30 cm²

• 60 cm²

• 16 cm²

• 36 cm²

Answer explanation

The area of a triangle is calculated using the formula: Area = 1/2 × base × height. Here, Area = 1/2 × 10 cm × 6 cm = 30 cm². Thus, the correct answer is 30 cm².

Tags

CCSS.6.G.A.1

What is the greatest common factor (GCF) of 36 and 48?

• 6

• 12

• 18

• 24

Answer explanation

To find the GCF of 36 and 48, we can list the factors: 36 (1, 2, 3, 4, 6, 9, 12, 18, 36) and 48 (1, 2, 3, 4, 6, 8, 12, 16, 24, 48). The greatest common factor is 12, which is the largest number in both lists.

• 30.13

• 29.23

• 31.23

• 30.23

Answer explanation

To calculate 23.45 + 6.78, align the decimal points and add: 23.45 + 6.78 = 30.23. Therefore, the correct answer is 30.23.

Tags

CCSS.6.NS.B.3

Answer explanation

The opposite of a number is its additive inverse. For -7, the opposite is 7, as -7 + 7 = 0. Therefore, the correct answer is 7.

Tags

CCSS.6.NS.C.6A

• 10

• 25

• 32

• 16

Answer explanation

To evaluate 2^5, we multiply 2 by itself 5 times: 2 x 2 x 2 x 2 x 2 = 32. Therefore, the correct answer is 32.

Tags

CCSS.6.EE.A.1

A trapezoid has bases of 8 cm and 12 cm, and a height of 5 cm. What is its area?

• 50 cm²

• 40 cm²

• 60 cm²

• 25 cm²

Answer explanation

The area of a trapezoid is calculated using the formula: Area = 1/2 * (base1 + base2) * height. Here, Area = 1/2 * (8 + 12) * 5 = 1/2 * 20 * 5 = 50 cm². Thus, the correct answer is 50 cm².

Tags

CCSS.6.G.A.1

What is the least common multiple (LCM) of 6 and 8?

• 24

• 12

• 48

• 18

Answer explanation

The least common multiple (LCM) of 6 and 8 is found by identifying the smallest multiple common to both numbers. The multiples of 6 are 6, 12, 18, 24, and those of 8 are 8, 16, 24. The smallest common multiple is 24.

• 38

• 36.5

• 38.5

• 38

Answer explanation

To solve 45.6 ÷ 1.2, you can simplify it by multiplying both numbers by 10, resulting in 456 ÷ 12. Performing the division gives 38, which is the correct answer.

Tags

CCSS.5.NBT.B.7

Answer explanation

On a number line, the opposite of -3 is found by moving the same distance from 0 in the positive direction. Thus, the number opposite to -3 is 3.

Tags

CCSS.6.NS.C.6A