Mathematics Practice Questions — Set 8

Question 1

If r and s are the roots of the quadratic equation 2x^2 - 8x + 3 = 0, what is the value of (1)/(r) + (1)/(s)?

Accepted Answer

8/3

Answer

3/8

Answer

4/3

Answer

-8/3

Question 2

Given f(x) = 2x - 1 and g(x) = x^2 + 1. What is the value of f(g(2)) - g(f(2))?

Accepted Answer

-1

Answer

0

Answer

10

Answer

1

Question 3

Three apples and two bananas cost ₱78.00. Two apples and three bananas cost ₱72.00. What is the combined cost of one apple and one banana?

Accepted Answer

₱30.00

Answer

₱35.00

Answer

₱28.00

Answer

₱32.00

Question 4

Ana is 3 times as old as Ben. In 5 years, Ana will be twice as old as Ben. How old is Ana now?

Accepted Answer

15

Answer

10

Answer

20

Answer

5

Question 5

How many integer solutions does the inequality |3x - 1| < 10 have?

Accepted Answer

6

Answer

5

Answer

7

Answer

3

Question 6

What is the value of 2^100 - 2^99?

Accepted Answer

2^99

Answer

2^1

Answer

2^199

Answer

1

Question 7

A circle is perfectly inscribed within a square. What is the ratio of the area of the circle to the area of the square?

Accepted Answer

π/4

Answer

4/π

Answer

1/2

Answer

π/2

Question 8

What is the area, in square units, of the polygon formed by the vertices (0, 0), (5, 0), (5, 6), and (0, 10)?

Accepted Answer

40

Answer

50

Answer

30

Answer

32

Question 9

The surface area of a cube is 54 square centimeters. What is its volume in cubic centimeters?

Accepted Answer

27

Answer

18

Answer

36

Answer

9

Question 10

A circle with a radius of 2 units is inscribed in a square. What is the area of the shaded region (the four corners of the square not covered by the circle)?

Accepted Answer

16 - 4π

Answer

16 - 2π

Answer

4π - 16

Answer

8π

Mathematics Practice Questions — Set 8

If r and s are the roots of the quadratic equation $2 x^{2} - 8 x + 3 = 0$ , what is the value of $\frac{1}{r} + \frac{1}{s}$ ?

Given $f (x) = 2 x - 1$ and $g (x) = x^{2} + 1$ . What is the value of $f (g (2)) - g (f (2))$ ?

Three apples and two bananas cost ₱78.00. Two apples and three bananas cost ₱72.00. What is the combined cost of one apple and one banana?

Ana is 3 times as old as Ben. In 5 years, Ana will be twice as old as Ben. How old is Ana now?

How many integer solutions does the inequality | $3 x - 1∣ < 10$ have?

What is the value of $2^{100} - 2^{99}$ ?

A circle is perfectly inscribed within a square. What is the ratio of the area of the circle to the area of the square?

What is the area, in square units, of the polygon formed by the vertices (0, 0), (5, 0), (5, 6), and (0, 10)?

The surface area of a cube is 54 square centimeters. What is its volume in cubic centimeters?

A circle with a radius of 2 units is inscribed in a square. What is the area of the shaded region (the four corners of the square not covered by the circle)?

Mathematics Practice Questions — Set 8

If r and s are the roots of the quadratic equation 2x2−8x+3=0, what is the value of r1​+s1​?

Given f(x)=2x−1 and g(x)=x2+1. What is the value of f(g(2))−g(f(2))?

Three apples and two bananas cost ₱78.00. Two apples and three bananas cost ₱72.00. What is the combined cost of one apple and one banana?

Ana is 3 times as old as Ben. In 5 years, Ana will be twice as old as Ben. How old is Ana now?

How many integer solutions does the inequality |3x−1∣<10 have?

What is the value of 2100−299?

A circle is perfectly inscribed within a square. What is the ratio of the area of the circle to the area of the square?

What is the area, in square units, of the polygon formed by the vertices (0, 0), (5, 0), (5, 6), and (0, 10)?

The surface area of a cube is 54 square centimeters. What is its volume in cubic centimeters?

A circle with a radius of 2 units is inscribed in a square. What is the area of the shaded region (the four corners of the square not covered by the circle)?

If r and s are the roots of the quadratic equation $2 x^{2} - 8 x + 3 = 0$ , what is the value of $\frac{1}{r} + \frac{1}{s}$ ?

Given $f (x) = 2 x - 1$ and $g (x) = x^{2} + 1$ . What is the value of $f (g (2)) - g (f (2))$ ?

How many integer solutions does the inequality | $3 x - 1∣ < 10$ have?

What is the value of $2^{100} - 2^{99}$ ?