NCAE Review: Mathematical Ability

There are four green leaves and 7 brown leaves on the ground. What is the chance of picking brown leaves on the ground?

• 4/11
• 7/11
• 1/7
• 1/4

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

Divide 240 into three parts in the ratio 2:4:6. What are the parts?

• 40:80:120
• 40:80:160
• 40:80:100
• 40:80:180

Tags

CCSS.6.NS.B.2

CCSS.6.RP.A.1

CCSS.6.RP.A.3

A flagpole casts a shadow of 40 at the same time that 3-meter stick beside cast a shadow of 4 meters. What is the height of flagpole?

• 50 m
• 47 m
• 3.15 m
• 30 m

Tags

CCSS.HSA.CED.A.2

CCSS.HSG.SRT.A.2

If x is an integer such that 3<x<23, -6<x<16 and 14<x<19, then x is _____________.

• 22
• 15
• 10
• 18

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

For what value of x will the points (0,-3), (1,-1), (2,x) be collinear?

• 1
• -1
• 0
• 3

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

A new overhauled taxi covered a distance of 55 km in the first hour, 65 km in the second hour, 75 km in the third hour, and so on. How far did it cover during the seventh hour?

• 115 km
• 120 km
• 130 km
• 140 km

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

In an office the ratio of the male employee to female employee is 1:3. If there are 12 male employees, how many employees are there in said office?

• 24
• 48
• 36
• 16

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

What time after 4:00 will the minute hand and the hour hand of a clock first be in the same position?

• 12:00:00
• 4:21:49
• 4:20:09
• 4:22:49

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

If x is an even integer and if y is an odd integer, then x² + y² is always _________.

• an odd integer
• an even integer
• a square of an integer
• a prime number

Tags

CCSS.HSA.APR.C.4

CCSS.HSA.SSE.B.3

The zeroes or roots of the function or equation y = x² - x - 6 are?

• -3 and 2
• -3 and -2
• 3 and -2
• 3 and 2

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4