Quiz: UPCAT Math Challenge (mathematics)


UPCAT Math ChallengeOnline version Medium-difficulty math quiz. by Devinity 1 Find the value of the expression: 14 ÷ 5 − 7 ÷ 7 − 9 ÷ 11 = ? a D. -11 b B. 1 c A. 11 d C. 0 2 Which of the following is the product of -1.54 and -1.64? a C. 2.5256 b B. 25.256 c A. 252.56 d D. -2.5256 3 If m = 4 and n = 3, what is the value of (m – n) / (m + n)? a A. -1/2 b B. 0 c C. 1/2 d D. 1 4 Which expression has the greatest value: 2/3, 5/8, 7/12, 3/5? a C. 3/5 b B. 5/8 c D. 7/12 d A. 2/3 5 What is the area of a square inscribed in a circle having a diameter of 4 cm? a D. 8 cm^2 b B. 6 cm^2 c A. 4 cm^2 d C. 12 cm^2 6 1. 15^(1/3) - 5^(1/2) = a A. 8^(2/3) b C. 5^(1/6) c D. 10^(1/3) d B. 9^(1/3) 7 2. 16/5 = a C. 3.2 b B. 4.0 c A. 2.5 d D. 5.0 8 3. 5.75 = _____ a A. 11/2 b C. 23/4 c B. 17/3 d D. 29/5 9 4. Divide 42 by 3 1/3 a C. 12 b B. 15 c A. 14 d D. 13 10 5. The product of -3 and -6 is how much larger than the sum of -2 and -7? a D. 28 b A. 7 c C. 14 d B. 21 11 77. Given: f(x) = 5x^4 − 3x^3 − x^2 + 2x + 5. Find f(−1) − f(1). a -4 b 0 c -2 d 4 12 18. What part of y is x? a 1/xy b xy c y/x d x/y 13 21. 0 is 125% of what number? a 7 b 8 c 10 d 9 14 27. What is the weight, in kilograms of 26 sacks of sugar if 156 sacks weigh 12 kg? a ? b 2 c 4 d 3 15 39. 1, 8, 27, 64, 125, ? a 343 b 125 c 216 d 512 16 42. If y < −2, which of the following must have the greatest value? a 2/(y−1) b 2/y c y/2 d 2/(y+1) 17 53. A triangle has the following points as vertices: (0,0), (3,4), and (6,0). This triangle is a a scalene triangle b an isosceles triangle c a right triangle d an equilateral triangle 18 61. If four lines are drawn in a plane, what is the maximum possible number of points of intersection of the lines? a 6 b 5 c 4 d 7 19 72. The perimeter of a square is 24. What is the length of a diagonal of this square? a 6 b 3√2 c 6√2 d 12 20 100. If XY = 8, what is the value of AB? a 8 b 4 c 12 d 16

1

Find the value of the expression: 14 ÷ 5 − 7 ÷ 7 − 9 ÷ 11 = ?

a

D. -11

b

B. 1

c

A. 11

d

C. 0

2

Which of the following is the product of -1.54 and -1.64?

a

C. 2.5256

b

B. 25.256

c

A. 252.56

d

D. -2.5256

3

If m = 4 and n = 3, what is the value of (m – n) / (m + n)?

a

A. -1/2

b

B. 0

c

C. 1/2

d

D. 1

4

Which expression has the greatest value: 2/3, 5/8, 7/12, 3/5?

a

C. 3/5

b

B. 5/8

c

D. 7/12

d

A. 2/3

5

What is the area of a square inscribed in a circle having a diameter of 4 cm?

a

D. 8 cm^2

b

B. 6 cm^2

c

A. 4 cm^2

d

C. 12 cm^2

6

1. 15^(1/3) - 5^(1/2) =

a

A. 8^(2/3)

b

C. 5^(1/6)

c

D. 10^(1/3)

d

B. 9^(1/3)

7

2. 16/5 =

a

C. 3.2

b

B. 4.0

c

A. 2.5

d

D. 5.0

8

3. 5.75 = _____

a

A. 11/2

b

C. 23/4

c

B. 17/3

d

D. 29/5

9

4. Divide 42 by 3 1/3

a

C. 12

b

B. 15

c

A. 14

d

D. 13

10

5. The product of -3 and -6 is how much larger than the sum of -2 and -7?

a

D. 28

b

A. 7

c

C. 14

d

B. 21

11

77. Given: f(x) = 5x^4 − 3x^3 − x^2 + 2x + 5. Find f(−1) − f(1).

a

-4

b

0

c

-2

d

4

12

18. What part of y is x?

a

1/xy

b

xy

c

y/x

d

x/y

13

21. 0 is 125% of what number?

a

7

b

8

c

10

d

9

14

27. What is the weight, in kilograms of 26 sacks of sugar if 156 sacks weigh 12 kg?

a

?

b

2

c

4

d

3

15

39. 1, 8, 27, 64, 125, ?

a

343

b

125

c

216

d

512

16

42. If y < −2, which of the following must have the greatest value?

a

2/(y−1)

b

2/y

c

y/2

d

2/(y+1)

17

53. A triangle has the following points as vertices: (0,0), (3,4), and (6,0). This triangle is

a

a scalene triangle

b

an isosceles triangle

c

a right triangle

d

an equilateral triangle

18

61. If four lines are drawn in a plane, what is the maximum possible number of points of intersection of the lines?

a

6

b

5

c

4

d

7

19

72. The perimeter of a square is 24. What is the length of a diagonal of this square?

a

6

b

3√2

c

6√2

d

12

20

100. If XY = 8, what is the value of AB?

a

8

b

4

c

12

d

16

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UPCAT Math Challenge

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UPCAT Math ChallengeOnline version

by Devinity

Find the value of the expression: 14 ÷ 5 − 7 ÷ 7 − 9 ÷ 11 = ?

Which of the following is the product of -1.54 and -1.64?

If m = 4 and n = 3, what is the value of (m – n) / (m + n)?

Which expression has the greatest value: 2/3, 5/8, 7/12, 3/5?

What is the area of a square inscribed in a circle having a diameter of 4 cm?

1. 15^(1/3) - 5^(1/2) =

2. 16/5 =

3. 5.75 = _____

4. Divide 42 by 3 1/3

5. The product of -3 and -6 is how much larger than the sum of -2 and -7?

77. Given: f(x) = 5x^4 − 3x^3 − x^2 + 2x + 5. Find f(−1) − f(1).

18. What part of y is x?

21. 0 is 125% of what number?

27. What is the weight, in kilograms of 26 sacks of sugar if 156 sacks weigh 12 kg?

39. 1, 8, 27, 64, 125, ?

42. If y < −2, which of the following must have the greatest value?

53. A triangle has the following points as vertices: (0,0), (3,4), and (6,0). This triangle is

61. If four lines are drawn in a plane, what is the maximum possible number of points of intersection of the lines?

72. The perimeter of a square is 24. What is the length of a diagonal of this square?

100. If XY = 8, what is the value of AB?

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