SATs Year 6 Mathematics

Simplify the fraction 6/12 to its lowest terms.

• 2/3

• 3/4

• 1/2

• 4/5

Answer explanation

To simplify 6/12, divide both numerator and denominator by their greatest common factor, which is 6. This gives 1/2 as the simplest form of the fraction.

Convert the decimal 0.75 to a fraction in simplest form.

• 1/2

• 2/3

• 3/4

• 4/5

Answer explanation

To convert 0.75 to a fraction, we can write it as 75/100 and simplify by dividing both the numerator and denominator by 25 to get 3/4, which is the simplest form.

Find the prime factors of the number 36.

• 2, 2, 3, 3

• 3, 3, 3, 3

• 2, 2, 2, 3

• 2, 3, 4, 6

Answer explanation

To find the prime factors of 36, we divide by the smallest prime number, 2, until we cannot divide anymore. The prime factors of 36 are 2, 2, 3, and 3.

Solve for x: 2x + 5 = 15

• x = 5

• x = 3

• x = 7

• x = 10

Answer explanation

To solve for x, subtract 5 from both sides: 2x = 10. Then divide by 2 to get x = 5. Therefore, x = 5 is the correct choice.

Calculate the area of a rectangle with length 8 cm and width 5 cm.

• 35 square cm

• 40 square cm

• 42 square cm

• 45 square cm

Answer explanation

To calculate the area of a rectangle, multiply the length by the width. In this case, 8 cm * 5 cm = 40 square cm. Therefore, the correct answer is 40 square cm.

If the mean of a set of numbers is 20 and there are 5 numbers in the set, what is the sum of all the numbers?

• 25

• 30

• 50

• 100

Answer explanation

To find the sum of all numbers, multiply the mean by the total numbers in the set: 20 x 5 = 100. Therefore, the sum of all numbers is 100.

What is 25% of 80?

• 20

• 40

• 15

• 30

Answer explanation

To find 25% of 80, you multiply 80 by 0.25. 80 * 0.25 = 20. Therefore, 25% of 80 is 20.

If the ratio of boys to girls in a class is 3:2 and there are 15 boys, how many girls are there?

• 12

• 20

• 10

• 5

Answer explanation

Since the ratio of boys to girls is 3:2, and there are 15 boys, the total number of girls is 15 * (2/3) = 10. Therefore, there are 10 girls in the class.

If 4 pencils cost $2, how much would 8 pencils cost?

• $4

• $6

• $8

• $10

Answer explanation

If 4 pencils cost $2, then each pencil costs $0.50. Therefore, 8 pencils would cost 8 * $0.50 = $4. The correct answer is $4.

Convert 2.5 km to meters.

• 25 meters

• 2000 meters

• 2500 meters

• 250 meters

Answer explanation

To convert kilometers to meters, multiply by 1000. Therefore, 2.5 km is equal to 2.5 * 1000 = 2500 meters.