SHSAT Practice

For what value of x is 3x + 4 = 6x - 2?

• 0.5

• 2

• 3

• 4.5

Tags

CCSS.7.EE.A.1

CCSS.7.EE.B.3

CCSS.7.EE.B.4

In a survey asking students whether they have brothers and/or sisters, the results determined all of the following statements to be true for the group:

-24 students had a brother(s)

-27 students had a sister(s)

-10 students had both a brother(s) and a sister(s)

-6 students had no siblings

How many students were surveyed for this study?

• 37

• 47

• 57

• 67

Tags

CCSS.7.EE.B.3

CCSS.7.NS.A.1

CCSS.7.NS.A.3

Based on the Pythagorean theorem, which of the following triangles, with their legs a and b and hypotenuse (c) listed, is a right triangle?

• a: 45

  b: 60

  c: 80

• a: 45

  b: 60

  c: 75

• a: 40

  b: 60

  c: 70

• a: 40

  b: 60

  c: 80

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

The set of possible values of b is {5, 11, 17}. What is the set of possible values of a if 3a = b - 2?

• {1, 5, 7}

• {3, 5, 7}

• {1, 3, 5}

• {1, 3, 7}

Tags

CCSS.7.EE.A.1

CCSS.7.EE.A.2

CCSS.7.EE.B.3

CCSS.7.EE.B.4

In a bag of marbles, 6 are blue. The probability of picking out a blue marble from the bag is 3/5. How many marbles are in the bag?

• 10

• 15

• 18

• 30

Tags

CCSS.7.EE.B.3

CCSS.7.EE.B.4

CCSS.7.RP.A.2

CCSS.7.RP.A.3

CCSS.7.SP.C.5

CCSS.7.SP.C.7

In this figure, ABCD forms a rectangle, whose area is 33 square inches and has sides AC and BD each equal to 3 inches. Line AB is the diameter of the circle that circumscribes the rectangle. What is the circumference of the circle, to the nearest tenth?

• 9.4 square inches

• 17.3 square inches

• 34.6 square inches

• 69.1 square inches

Tags

CCSS.7.G.B.4

CCSS.7.G.B.6

Drew is looking for an apartment to rent and is trying to find the least expensive option. The following are the four options Drew is looking at for a twelve-month lease. Which apartment is the least expensive option?

-Cedarwood Park: $300 deposit, $500 rent per month

-Oak Hills Apartments: $1,000 deposit, $400 rent per month

-Ridge Way Facility: $0 deposit, $600 rent per month

-Riverview Complex: $500 deposit, $450 per month

• Riverview Complex

• Cedarwood Park

• Oak Hills Apartments

• Ridge Way Facility

Tags

CCSS.7.EE.B.3

CCSS.7.NS.A.2

CCSS.7.NS.A.3

There are ′′y′′ blue and red marbles in a jar. If the probability of picking a blue marble is three times that of picking a red marble, which expression represents the probability of picking a blue marble?

• x/y

• 3x/y

• 2x/y

• 3x/(x+y)

Tags

CCSS.7.RP.A.2

CCSS.7.SP.C.5

CCSS.7.SP.C.7

How many students have at least 5 people total in their family?

• 72

• 14

• 60

• 36

Tags

CCSS.6.SP.A.1

CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.5

A rectangle has a width of 10 cm and a length of 20 cm. If the width increases by 30% and the length decreases by 30%, what is the effect on the area of the rectangle?

• It stays the same

• Increases by 9%

• Decreases by 9%

• Increases by 91%

Tags

CCSS.7.EE.B.3

CCSS.7.G.B.6

CCSS.7.RP.A.3