SSAT Middle Level Quantitative (Math)

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SSAT Middle Level Quantitative › SSAT Middle Level Quantitative (Math)

Questions 1 - 10

Select the answer choice that is equal to $2\times\frac{3}{5}$

$6\times\frac{1}{5}$

$5\times\frac{1}{5}$

$4\times\frac{1}{5}$

$7\times\frac{1}{5}$

$8\times\frac{1}{5}$

Explanation

When we multiply a whole number by a fraction, we multiply the whole number by the numerator, and the denominator stays the same.

$\frac{2}{1}\times\frac{3}{5}=\frac{6}{5}$

$\frac{6}{1}\times\frac{1}{5}=\frac{6}{5}$

Rectangle

Give the area of the above rectangle in square feet.

$216 \textrm{ ft}^{2}$

$532\textrm{ ft}^{2}$

$576 \textrm{ ft}^{2}$

$33 \textrm{ ft}^{2}$

$66 \textrm{ ft}^{2}$

Explanation

Since 1 yard = 3 feet, multiply each dimension by 3 to convert from yards to feet:

$8 \textrm{ yd} \times 3 \textrm{ ft/yd} = 24 \textrm{ ft}$

$3 \textrm{ yd} \times 3 \textrm{ ft/yd} = 9 \textrm{ ft}$

Use the area formula, substituting :

$A = 24 \times 9 = 216$ square feet

In March, there were 10 sunny days, 10 cloudy days, and 11 rainy days. How many days did it rain in March?

Explanation

Identify the number of rainy days in March: days

$29\frac{5}{13}-8\frac{2}{13}$

$21\frac{3}{13}$

$22\frac{3}{13}$

$23\frac{3}{13}$

$21\frac{7}{13}$

$22\frac{7}{13}$

Explanation

When we subtract mixed numbers, we subtract whole numbers by whole numbers and fractions by fractions.

$\frac{5}{13}-\frac{2}{13}=\frac{3}{13}$

Remember, when we are subtracting fractions we must have common denominators and we only subtract the numerators.

$4\times\frac{1}{7}=$

$\frac{4}{7}$

$\frac{1}{28}$

$4\frac{1}{7}$

$\frac{4}{28}$

Explanation

When we multiply a fraction by a whole number we need to make the whole number into a fraction by putting our whole number over .

$\frac{4}{1}\times\frac{1}{7}=\frac{4}{7}$

Find the perimeter of the triangle above.

Note: Figure not drawn to scale.

None of these answers are correct.

Explanation

The perimeter of a shape is the length around the shape. In order to find the perimeter of a triangle, add the lengths of the sides: .

Because the lengths are in inches, the answer must be in inches as well.

Kailynn has gallons of water. Each water bottle holds $\frac{1}{2}$ of a gallon. How many water bottles can she fill?

Explanation

Think: How many $\frac{1}{2}$ s are in wholes?

To solve $2\div\frac{1}{2}$ we multiply by the reciprocal

$\frac{2}{1}\times\frac{2}{1}=\frac{4}{1}=4$

What fractions equals ?

$\frac{8}{16}$

$\frac{8}{12}$

$\frac{8}{4}$

$\frac{8}{2}$

$\frac{8}{32}$

Explanation

is equal to $\frac{1}{2}$ .

Thus we are looking for a fraction that reduces to $\frac{1}{2}$ .

$\frac{8}{12}$ reduces to $\frac{2}{3}$ (divide numerator and denominator by 4).

$\frac{8}{4}$ reduces to 2 (divide numerator and denominator by 4).

$\frac{8}{2}$ reduces to 4 (divide numerator and denominator by 2).

$\frac{8}{32}$ reduces $\frac{1}{4}$ (divide numerator and denominator by 4).

$\frac{8}{16}$ is the only one that reduces to $\frac{1}{2}$ (divide numerator and denominator by 8).

Rectangle

Give the area of the above rectangle in square feet.

$216 \textrm{ ft}^{2}$

$532\textrm{ ft}^{2}$

$576 \textrm{ ft}^{2}$

$33 \textrm{ ft}^{2}$

$66 \textrm{ ft}^{2}$

Explanation

Since 1 yard = 3 feet, multiply each dimension by 3 to convert from yards to feet:

$8 \textrm{ yd} \times 3 \textrm{ ft/yd} = 24 \textrm{ ft}$

$3 \textrm{ yd} \times 3 \textrm{ ft/yd} = 9 \textrm{ ft}$

Use the area formula, substituting :

$A = 24 \times 9 = 216$ square feet

Andrew has gallons of soda. Each glass holds $\frac{1}{3}$ of a gallon. How many glasses can he fill?

Explanation

Think: How many $\frac{1}{3}$ s are in wholes?

To solve $12\div\frac{1}{3}$ we multiply by the reciprocal

$\frac{12}{1}\times\frac{3}{1}=\frac{36}{1}=36$

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