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RISY Math Olympiads G.(10,11,12)

Total questions: 68

Worksheet time: 2hrs 3mins

Name
Class
Date
1.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(-10, -10)
c)
(-1, 5)
d)
(5, 20)
2.
Select the graph for y ≥ -3.
a)
A
b)
B
c)
C
d)
D
3.

What are the factors of 24

(a)  

4.

Bob’s age 5 years ago was half the age he will be in 8 years. How old is Bob now? Choose the equation that will help you answer the question.

a)

X - 5 = 1/2 (x + 8)

b)

X - 1/2 = 5 (x + 8)

c)

x - 8 = 1/2 (x - 5)

5.

What are complementary angles?

a)

Two angles that make 90 degrees

b)

Two or more angles that make 90 degrees

c)

Two or more angles that make 180 degrees

d)

Two angles that make 180 degrees

6.

What are supplementary angles?

a)

Two or more angles that make 180 degrees

b)

Two angles that make 180 degrees

c)

Two angles that make 90 degrees

d)

Two or more angles that make 90 degrees

7.

What is the distance formula?

of (x1, y1), (x2, y2)

a)

(x2x1)+(y2y1)\sqrt[]{\left(x2-x1\right)+\left(y2-y1\right)}  

b)

(x2+x1)(y2+y1)\sqrt[]{\left(x2+x1\right)-\left(y2+y1\right)}  

c)

(x1+x2)(y1+y2)\sqrt[]{\left(x1+x2\right)-\left(y1+y2\right)}  

d)

(y1+y2)+(x1+x2)\sqrt[]{\left(y1+y2\right)+\left(x1+x2\right)}  

8.

When a certain number is raised to the power of zero, what will be the answer?

a)

0

b)

1

c)

-1

d)

undefined

9.

In laws of exponents, (am) (an)\left(a^m\right)\ \left(a^n\right)  =

a)

a(mn)a^{\left(m-n\right)}  

b)

amna^{mn}  

c)

a(mn)a^{\left(\frac{m}{n}\right)}  

d)

a(m+n)a^{\left(m+n\right)}  

10.

What type of expression is indicated by the symbol √?

a)

Polynomial Expression

b)

Rational Expression

c)

Radical Expression

d)

Linear Expression

11.

Simplify the expression: (ab7)(a2b5)\left(ab^7\right)\left(a^2b^5\right)  

a)

b2a\frac{b^2}{a}  

b)

a2b12a^2b^{12}  

c)

a3b12a^3b^{12}  

d)

a2b35a^2b^{35}  

12.

When 52 is raised to the power of 4, what would be the answer?

a)

78,125

b)

390,625

c)

1,953,125

d)

9,765,625

13.

It is the number inside the radical sign.

a)

Radical

b)

Radicand

c)

Root

d)

Index

14.
Simplify:
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
15.

(x+4)2(x+4)^2  

a)

x2+16x^2+16  

b)

x2+8x+16x^2+8x+16  

c)

x2+8x16x^2+8x-16  

16.
Find the value of y when x = 2.
a)
2
b)
6
c)
7
d)
8
17.

50 =

a)

1

b)

5

c)

0

d)

25

18.

If I buy jeans for $30 with 8% tax, what is the total I will pay?

a)

$27.60

b)

$32.40

c)

$324

d)

$38

19.
What does the ( E )in PEMDAS mean?
a)
experience
b)
exponents
c)
examples
d)
evidence
20.
What is the perimeter of the shaded figure?
a)
12
b)
10
c)
16
d)
18
21.
The correct order of number sets, from smallest to largest (not including irrational) is ________.
a)
Natural, whole, integer, rational, real
b)
Natural, integer, whole, rational, real
c)
Natural, rational, whole, integer, real
d)
Natural, whole, rational, integer, real
22.
Choose the best definition of the term INTEGERS...
a)
Whole numbers
b)
Negative numbers
c)
Negative Numbers and Positive Numbers
d)
Positive whole #s and their opposites and zero
23.
Choose the best definition of the term WHOLE NUMBERS...
a)
Numbers that have holes in them (like 0, 4, 8, etc.)
b)
Any positive #s
c)
Negative numbers and their opposites
d)
Natural numbers together with 0
24.
(-2/9)2
a)
4/9
b)
-4/18
c)
4/81
25.
When multiplying or dividing a NEGATIVE and POSITIVE number your result will be...
a)
Positive
b)
Negative
c)
Depends on which is bigger.
26.

How do you write the standard number 0.00095 in scientific notation?

a)

9.5 x 10-3

b)

9.5 x 10-5

c)

9.5 x 10-4

d)

9.5 x 10-6

27.

Write the standard number 6,267,000 in scientific notation.

a)

62.67 x 106

b)

6.267 x 106

c)

6.267 x 104

d)

6.267 x 107

28.

What is the best estimate for the following.

a)

9.3432...

b)

6.782...

c)

8.2326...

d)

10.7638...

29.

Which statement is correct?

a)

All integers are rational numbers.

b)

All irrational numbers are whole numbers

c)

A real number must be a rational number.

d)

A repeating decimal is an irrational number.

30.
Solve the equation below:
a)
k = 152
b)
k = 176
c)
k = 5
d)
k = 27
31.

This is an example of

a)

a reflection

b)

a rotation

32.

5x - 2 + 8x = 4x - 2

a)

x = 0

b)

x = -9/4

c)

x = -4

d)

x = 9

33.

2(-1x - 3) = 3 + x

a)

x = 3

b)

x = -3

c)

x = 9

d)

x = -9

34.
What is the measurement of x?
a)
21
b)
1.25
c)
20
d)
4
35.

What is the measure of < x in degrees?

a)

53

b)

60

c)

67

d)

113

36.

The angle measures of a triangle are shown in the diagram. What is the value of x ?

a)

25

b)

20

c)

10

d)

28

37.
Simplify the Expression 
42 + 40 ÷ 8
a)
7
b)
21
c)
6
d)
81
38.
If x = 4 and y = 1, evaluate    x2 + 3y
a)
45
b)
19
c)
11
d)
13
39.

The objective when solving an equation is to....

a)

isolate the variable.

b)

check the solution.

c)

guess and check.

d)

Combine Like Terms.

40.
a)

90

b)

70

c)

80

d)

160

41.
What is the area of this figure?
a)
52 square centimeters
b)
36 centimeters
c)
57 square centimeters
d)
40 square centimeters
42.
The perimeter of a square is 220cm. What is the length of each side?
a)
80 cm
b)
40 cm
c)
100 cm length and 10 width
d)
55 cm
43.
What is the area of this figure?
a)
91 squared inches
b)
70 squared inches
c)
112 squared inches
d)
35 squared inches
44.

The perimeter of the
 triangle is  10x+2010x+20  . Find the length of the missing side.

a)

6x+106x+10  

b)

15x+3015x+30  

c)

5x+105x+10  

d)

5x105x-10  

45.
Which is greater,  26540 or 50?
a)
26540
b)
50
c)
They are the same
d)
Zero is greater
46.

Aaron is staying at a hotel that charges $99.95 per night plus tax for a room. A tax of 8% is applied to the room rate, and an additional onetime untaxed fee of $5.00 is charged by the hotel. Which of the following represents Aaron's total charge, in dollars, for staying x nights?

a)

(99.95+0.08x)+5\left(99.95+0.08x\right)+5

b)

1.08(99.95x)+51.08\left(99.95x\right)+5

c)

1.08(99.95x+5)1.08\left(99.95x+5\right)

d)

1.08(99.95+5)x1.08\left(99.95+5\right)x

47.
a)
A
b)
B
c)
C
d)
D
48.
a)
Answer (1)
b)
Answer (2)
c)
Answer (3)
d)
Answer (4)
49.
Which is equivalent to √121p5r7s4?
a)
11prs √pr
b)
11p2.5r3.5s√pr
c)
11p2r3s√pr
d)
11p2r3s2
50.
a)
A
b)
B
c)
C
d)
D
51.

Berapa buah persegi pada gambar di bawah ini?

a)

36

b)

40

c)

42

d)

43

52.

Berapa buah segitiga pada gambar di bawah ini?

a)

32

b)

33

c)

34

d)

35

53.

Berapa jawabannya?

a)

26

b)

37

c)

51

d)

62

54.

Berapa jawabannya?

a)

45

b)

105

c)

22

d)

57

55.

Berapa hasil akhirnya

a)

34

b)

26

c)

48

d)

38

56.

Ada berapa segitiga pada gambar ini?

a)

40

b)

43

c)

44

d)

45

57.

Berapa hasilnya?

a)

15

b)

16

c)

19

d)

14

58.

Berapa hasilnya?

a)

21

b)

22

c)

20

d)

19

59.

Berapa banyak segitiga pada gambar ini?

a)

20

b)

22

c)

18

d)

16

60.

Gelas mana yang airnya paling banyak?

a)

A

b)

B

c)

C

d)

D

61.

Berapa banyak segitiga pada gambar ini?

a)

8

b)

9

c)

10

d)

11

62.

Berapa banyak kubus kecil pada gambar?

a)

14

b)

15

c)

16

d)

13

63.

Berapa banyak kubus kecil pada gambar?

a)

40

b)

36

c)

38

d)

44

64.

Berapa banyak segitiga pada gambar ini?

a)

25

b)

26

c)

27

d)

28

65.

Ada berapa banyak persegi pada gambar ini?

a)

29

b)

28

c)

26

d)

25

66.

Why is the graph NOT differentiable at x = 1?

a)

The graph is discontinuous.

b)

The graph oscillates.

c)

There is a vertical asymptote.

d)

There is a vertical tangent line.

67.
a)

25

b)

30

c)

27

d)

39

68.

It's 3:35. If the clock is rotated 90 degrees counterclockwise, what time will ?

a)

6:50

b)

6:55

c)

12:20

d)

12:15