Quiz about BGCCF Grades 6-8 Summer Olympics

Question 1

What is the smallest possible average of three distinct positive odd integers?

Accepted Answer

3

Answer

9

Answer

12

Answer

13

Question 2

A square and a rectangle have equal perimeters. The length of the two sides of the rectangle are 8.1 inch and 9.9 inch. What is the area of the square in square inches?

Accepted Answer

81 in2

Answer

16 in2

Answer

25 in2

Answer

99 in2

Question 3

The length ABCDEF has AB=9, BC=10, FA=6 and FE=5. What is DE + DC?

Accepted Answer

8

Answer

6

Answer

12

Answer

16

Question 4

A cube has a volume of 125 cm³. What is the length of one side of the cube?

Accepted Answer

5 cm

Answer

3 cm

Answer

4 cm

Answer

10 cm

Question 5

There are 24 students in math class. If $$\frac{2}{3}$$ of the students in this class are male students, find the number of female students in the math class?

Accepted Answer

8

Answer

4

Answer

12

Answer

16

Question 6

10 decreased by the quotient of a number 15.

Accepted Answer

$$10-\frac{x}{15}$$

Answer

$$10+\frac{x}{15}$$

Answer

$$15-\frac{x}{10}$$

Answer

$$15x-10$$

Question 7

Solve for x: $$\frac{3}{5}\left(x-4\right)+\frac{4}{5}=\frac{1}{10}$$

Accepted Answer

$$\frac{17}{6}$$

Answer

$$\frac{1}{2}$$

Answer

$$\frac{3}{2}$$

Answer

$$\frac{9}{2}$$

Question 8

Simplify the expression: $$\frac{2x}{3}+\frac{3x}{5}-\left(\frac{4x}{5}-\frac{x}{6}\right)=$$

Accepted Answer

$$\frac{19x}{30}$$

Answer

$$\frac{x}{30}$$

Answer

$$\frac{13x}{30}$$

Answer

$$\frac{29x}{30}$$

Question 9

In triangle ABC $$\angle B=90\degree.\ AB=6\ and\ AC=10$$ . Find the area of triangle ABC?

Accepted Answer

24

Answer

12

Answer

18

Answer

20

Question 10

What is the value of $$\frac{4!\cdot5!}{2!\cdot3!}$$ ?

Accepted Answer

240

Answer

120

Answer

180

Answer

200

Question 11

If the sum of two numbers is 32 and the difference of these two numbers is 20. What is the product of these numbers?

Accepted Answer

156

Answer

100

Answer

180

Answer

240

Question 12

The ratio of boys to girls is 4 to 5 in math class. If there are a total of 45 students in this math class how many girls are in the math class?

Accepted Answer

25

Answer

15

Answer

20

Answer

30

Question 13

Elif and her 4 friends ate lunch at a restaurant. They decided to split the bill equally. The total bill was $24.85. How much was each person's share?

Accepted Answer

$4.97

Answer

$3.57

Answer

$4.55

Answer

$5.47

Question 14

A bag has 40 apples. 15 are red, 10 are green, and the rest are yellow. If the ratio of yellow apples to green apples is a to b in simplest form, what is $$a+b$$ ?

Accepted Answer

5

Answer

2

Answer

3

Answer

4

Question 15

What is the sum of all the factors of 24?

Accepted Answer

60

Answer

20

Answer

30

Answer

90

Question 16

Jong added two different prime numbers together and got 38. What were they?

Accepted Answer

31 and 7

Answer

33 and 5

Answer

32 and 6

Answer

37 and 1

Question 17

The sum of three consecutive integers is 96. What is the biggest integer?

Accepted Answer

33

Answer

25

Answer

31

Answer

41

Question 18

Find the sum of all prime numbers between 5 to 15?

Accepted Answer

36

Answer

25

Answer

29

Answer

31

Question 19

Accepted Answer

1

Answer

0

Answer

-7

Answer

-3

Question 20

Solve: $$=\sqrt{100}-\sqrt{81}-\sqrt{16}=$$ ?

Accepted Answer

-3

Answer

0

Answer

1

Answer

-1

Question 21

Simplify $$-3\left(x-5\right)+2\left(x+4\right)-3x$$

Accepted Answer

$$-4x+23$$

Answer

$$-2x+23$$

Answer

$$4x+23$$

Answer

$$2x-23$$

Question 22

If $$\frac{2\left(x-7\right)}{4}=\frac{3}{5}$$ , then solve for x?

Accepted Answer

8.2

Answer

2

Answer

4.2

Answer

7.2

Question 23

Solve $$3^0+3^2+3^3+3^4=$$ ?

Accepted Answer

118

Answer

58

Answer

78

Answer

98

Question 24

What is the value of $$2024^2-2023^2$$

Accepted Answer

$$4047$$

Answer

$$2047$$

Answer

$$5047$$

Answer

$$6047$$

Question 25

A square has a perimeter of 24. What is the area of the square?

Accepted Answer

36

Answer

9

Answer

25

Answer

49

Question 26

Vera has two whole numbers. Their product is 20 and their sum is 9. What is the smaller number?

Accepted Answer

4

Answer

3

Answer

5

Answer

6

Question 27

Nora has $40. Leyla has $5 more than Vera and Vera has one-fourth as much as Nora. How many dollars does Leyla have?

Accepted Answer

$15

Answer

$5

Answer

$10

Answer

$20

Question 28

What is $$\left(5+5 ight) imes\left[\left(5\div5 ight)\div5 ight]+\left(5-5 ight)^{10}=$$

Accepted Answer

2

Answer

5

Answer

10

Answer

15

Question 29

$$A=\left\{0,\ 1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7,\ 8,\ 9\right\}$$ . What is the probability of selecting an even number in set A?

Accepted Answer

$$\frac{1}{2}$$

Answer

$$\frac{2}{3}$$

Answer

$$\frac{1}{4}$$

Answer

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

Question 30

Leyla has $358.60 in her checking account. How much does she have in her check account after she makes a deposit of $140.20 and withdrawal of $178.60

Accepted Answer

$320.20

Answer

$150

Answer

$220.46

Answer

$302.20

Question 31

30% of 70 equal what percent of 84?

Accepted Answer

25%

Answer

10%

Answer

15%

Answer

30%

Question 32

Which expression is equivalent to 3x + 5 + 7x + 2?

Accepted Answer

10x + 7

Answer

17x

Answer

17

Answer

15x + 2

Question 33

Simplify: $$\sqrt{1+2+3+4+...+10}=$$

Accepted Answer

$$\sqrt{55}$$

Answer

$$\sqrt{15}$$

Answer

$$\sqrt{35}$$

Answer

$$3\sqrt{5}$$

Question 34

Question 34.

Accepted Answer

$$\frac{5}{11}$$

Answer

$$\frac{5}{9}$$

Answer

$$\frac{4}{9}$$

Answer

$$\frac{7}{11}$$

Question 35

What is the solution to the equation below? $$4\left(\frac{x-1}{8}\right)=\frac{4}{6}+3x$$

Accepted Answer

$$-\frac{7}{15}$$

Answer

$$\frac{6}{7}$$

Answer

$$\frac{7}{6}$$

Answer

$$1$$

Question 36

Evaluate the following expressions.

$$\sqrt{\sqrt{9}+\sqrt{81}+\sqrt{25}+\sqrt{16}}$$

Accepted Answer

$$\sqrt{21}$$

Answer

$$\sqrt{11}$$

Answer

$$\sqrt{31}$$

Answer

$$\sqrt{41}$$

Question 37

How many diagonals does a rectangle have?

Accepted Answer

2

Answer

1

Answer

3

Answer

4

Question 38

$$\frac{x^{\frac{3}{2}}\cdot y^{\frac{3}{5}}}{x^{\frac{1}{2}}\cdot y^{\frac{1}{5}}}$$

Which of the following is equivalent to the expression above, where x and y are positive integers?

Accepted Answer

$$x\cdot y^{\frac{2}{5}}$$

Answer

$$x^{\frac{1}{2}}\cdot y^{\frac{3}{5}}$$

Answer

$$x^{\frac{1}{2}}\cdot y^{\frac{3}{5}}$$

Answer

$$x^{\frac{3}{2}}\cdot y^{\frac{3}{5}}$$

Question 39

Question 39.

Accepted Answer

$$12.56cm^2$$

Answer

$$10cm^2$$

Answer

$$11.20cm^2$$

Answer

$$15.5cm^2$$

Question 40

Question 40.

Accepted Answer

$$2\sqrt{3\ }cm$$

Answer

$$\sqrt{3}\ cm$$

Answer

$$3\sqrt{3\ }cm$$

Answer

$$6\ cm$$

Question 41

The sum of two numbers is 72 and their difference is 30. Which one is the smallest number?

Accepted Answer

21

Answer

18

Answer

19

Answer

20

Question 42

The sum of two numbers is 45 and their difference is 15. Which one is the biggest number?

Accepted Answer

30

Answer

10

Answer

15

Answer

25

Question 43

What is the slope of the line perpendicular to the graph of the equation $$\frac{1}{2}x+\frac{1}{3}y=12.$$

Accepted Answer

$$\frac{2}{3}$$

Answer

$$\frac{1}{3}$$

Answer

$$\frac{3}{2}$$

Answer

$$3$$

Question 44

A jar contains 6 yellow, 4 blue, 5 red, and 7 green marbles. How many marbles must be drawn from the jar to ensure that 1 blue marbles is selected?

Accepted Answer

19

Answer

15

Answer

18

Answer

25

Question 45

The perimeter of a rectangle is 48m. If the width of the rectangle is three times the length, what is the width?

Accepted Answer

18 m

Answer

6 m

Answer

9 m

Answer

15 m

Question 46

Simplify: $$3(3x-1)+4x-5(2x-1)+15-9x$$

Accepted Answer

$$-6x+17$$

Answer

$$6x+17$$

Answer

$$-3x+27$$

Answer

$$-x+17$$

Question 47

Which fraction correctly represents $$\frac{15}{60}$$ in simplest form?

Accepted Answer

$$\frac{1}{4}$$

Answer

$$\frac{5}{30}$$

Answer

$$\frac{3}{12}$$

Answer

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

Question 48

Question 48.

Accepted Answer

200

Answer

180

Answer

190

Answer

210

Question 49

Question 49.

Accepted Answer

109

Answer

103

Answer

105

Answer

107

Question 50

In a school that are 15 students attending the science club, 25 students attending the robotics club, 10 students attending both clubs and 6 students are not attending any clubs. How many students are in the school?

Accepted Answer

36

Answer

12

Answer

18

Answer

30

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