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WorksheetsRevision-G11REG EOY 2022
Total questions: 152
Worksheet time: 5hrs 4mins
i7
3x3 – 6x
3x2 – 8x + 1
12
(2x+5y) + (3x-2y)
2a2bc6a3b2c4 − 8a2b2c
3abc − 4abc
3abc3 − 4b
3a3b2c4 − 4b
3abc +4b
Divide BY LONG DIVISION:
(4x2 - 24x + 35) / (2x - 5)
2x - 7
2x - 12
2x + 12
2x + 7
x2 + 15x + 64 = 20
4p³+8p²+3p+6
x2 - 400
(-2,2)
(−∞, −2)∪(2, ∞)
[-2,2]
(∞, −2)∪(2, −∞)
-25/3
4
-6
25/3
13/5
-13/5
5/13
-5/13
5
7
12
21
Add 45+125
345
170
85
can't add
Simplify (x−19)2
x−361
x+361
x−38x+361
x+38x+361
Simplify 36ab4c5
6b2c2ac
6ab2c2
6b2c2
6abcc
Simplify 6−58
19(−40−86)
1327−103
40
−2−2
Simplify the expression
6a5b3√6b
2a5b3√54b
3a5b3
6√2a10b7
yx31⋅xy23
x34y25
x32y21
x31y23
x32y34
Simplify . Your answer should contain only positive exponents. u−45v2•(u23)−23
u27v2
u25v2
u45v2
v2
y=1/x
y=10(1/2)t/25 where t>0
How much does the mass remains after 120 years?
For f(x)=4⋅3x , find the correct graph, asymptote, domain and range.
What's the probability of the gray area?
(Mean = 55, Standard dev = 2.5)
0.8185
0.8413
0.8641
0.8389
What is the mean of the sampling distribution?
Consider a population with μ=50 and σ=5 is taken. Find the standard deviation of the sampling distribution of the sample mean with a sample size of 30.
5
0.91
0.71
0
cot(π/4)
- √3/2
-1
-√3
1
The functions shown has which of the following properties. Click all that apply.
Phase change
Amplitude change
Vertical translation
Reflection across the x-axis
Change of period
Which of the following is not the pair of angle θ and its corresponding reference angle, α
θ=206° , α=26°
θ=337°, α=23°
θ=112°, α=68°
θ=195°, α=75°
The diagram below shows a unit circle. State the possible values of a and b.
a=0.9397, b=0.3420
a=0.9397, b=−0.3420
a=−0.9397, b=0.3420
α=−0.9397, b=−0.3420
What is the value of sine at 330°?
1/2
-1/2
√3 / 2
-√3 / 2
The diagram shows a unit circle and angle θ . Determine the value of sine θ .
- 0.8387
0.8387
- 0.5446
0.5446
What is the corresponding reference angle for 249° ?
21°
69°
111°
159°
Find a coterminal angle to 5°.
365°
255°
-220°
-365°
Find a coterminal angle to -27°.
-387°
27°
323°
-393°
In which quadrant is -570⁰
I
II
III
IV
period: 6π
period: 3π
period: 2π
period: 8π
amp: 1
amp: 2
amp: 21
amp: 0
What is the period of y=4cos5θ ?
2π/5
π
5
5π
Write the equation for a sine function with an amplitude of 6 and a period of 4π .
y=6sin8θ
y=6sin8(θ−1)
y=6sin 41θ
y=6sinθ
What is the equation of the graph?
y = 2 cos θ
y = sin θ
y = 2 sin θ
y = sin 2θ
Where does the graph of y=sin(x) begin its first cycle?
(0,0)
(a,0)
(0, π)
(1, π)
y=cos 3θ
y=2cos 3θ
y=cos 3θ
y=cos2θ
Find the phase shift of y=-4cos[1/4x+π/4]
2π units to the right
π units to the right
π units to the left
2π units to the left
y=2cos(1/3x +π/6) +2
What is the equation of the graph shown?
y = 2sin(θ + π/2) + 2
y = 2cos(θ - π/2) + 2
y = 2sin(θ - π/2) + 2
y = 2cos(θ + π/2) + 2
What is the equation for the graph shown.
y = 4sinθ - 2
y = 3tcosθ - 1
y = 2tanθ - 4
y = 2-4tanθ + 2
Which parent function is shown?
y = tan x
y = sin x
y = csc x
y = sec x
y=cosx
Which function is graphed?
y=tanx
y=cotx
y=sinx
y=tan−1x
y=cosx
Left π/2
Period: π
Which of the following could be the equation of the given graph?
f(x)=3sin 2x - 1
f(x)=3sin 2x - 1
f(x)=2sin 3x + 1
f(x)=3sin 2x + 1
R: [-1, 1]
R: [-π, π]
R: [1, -1]
R: [-∞, ∞]
period: 6π
period: 3π
period: 2π
period: 8π
amp: 1
amp: 2
amp: 21
amp: 0
What is the period of y=4cos5θ ?
2π/5
π
5
5π
Write the equation for a sine function with an amplitude of 6 and a period of 4π .
y=6sin8θ
y=6sin8(θ−1)
y=6sin 41θ
y=6sinθ
What is the equation of the graph?
y = 2 cos θ
y = sin θ
y = 2 sin θ
y = sin 2θ
Where does the graph of y=sin(x) begin its first cycle?
(0,0)
(a,0)
(0, π)
(1, π)
y=cos 3θ
y=2cos 3θ
y=cos 3θ
y=cos2θ
Find the phase shift of y=-4cos[1/4x+π/4]
2π units to the right
π units to the right
π units to the left
2π units to the left
y=2cos(1/3x +π/6) +2
What is the equation of the graph shown?
y = 2sin(θ + π/2) + 2
y = 2cos(θ - π/2) + 2
y = 2sin(θ - π/2) + 2
y = 2cos(θ + π/2) + 2
What is the equation for the graph shown.
y = 4sinθ - 2
y = 3tcosθ - 1
y = 2tanθ - 4
y = 2-4tanθ + 2
Which parent function is shown?
y = tan x
y = sin x
y = csc x
y = sec x
y=cosx
Which function is graphed?
y=tanx
y=cotx
y=sinx
y=tan−1x
y=cosx
Left π/2
Period: π
Which of the following could be the equation of the given graph?
f(x)=3sin 2x - 1
f(x)=3sin 2x - 1
f(x)=2sin 3x + 1
f(x)=3sin 2x + 1
R: [-1, 1]
R: [-π, π]
R: [1, -1]
R: [-∞, ∞]
A school principal wants to know how teachers are liking the new rules she put in place. She surveys all the math and science teachers. Is this a biased sample or unbiased sample?
Biased Sample
Unbiased Sample
An airline wants to know if people prefer to check their luggage or carry it on. They ask every 10th person that walks into the airport. Is this a biased sample or unbiased sample?
Biased Sample
Unbiased sample?
A middle school surveyed random students to find out which elective the students want to take next year. The results are shown here. How many total students were surveyed?
20
40
14
6
In a recent research that was conducted in a private school, the subjects
of the study were selected using the Table of Random Numbers.
Simple Random
Systematic
Stratified
Cluster
The office clerk gave the researcher a list of 500 Grade 10 students. The
researcher selected every 20th name on the list.
Simple Random
Systematic
Stratified
Cluster
A researcher who is studying the effects of educational attainment on
promotion conducted a survey of 50 randomly selected workers from
each of these categories: high school graduate, with undergraduate
degrees, with master’s degree, and with doctoral degree.
Simple Random
Systematic
Stratified
Cluster
A researcher interviewed all top 10 Grade 11 students in each of 15
randomly selected private schools in Metro Manila.
Simple Random
Systematic
Stratified
Cluster
A researcher chose the subjects of her study by selecting every kth
member of the population.
Simple Random
Systematic
Stratified
Cluster
Wicomico County Public Schools randomly selected 230 teachers to find out which technology resource it's teachers feel is the most effective.
The attendance for the hockey game is about 25,000 visitors each game. Based on the table, how many people out of 25,000 could be expected to buy a pennant?
Marianne wanted to know students' opinion on the new schedule at school. She survey's the first 30 students who come into her class.
Convenience Sampling
Systematic Random Sampling
Simple Random Sampling
Volunteer response
Identify each of the following as an observational study or an experiment.
Compare the grades on a final math test of 25 students who use calculators and 25 students who do not use calculators. The students decide which group they are in.
Observational Study
Experiment
For each situation, choose the most appropriate technique for collecting data. Use the technique exactly once.
Decide if computer games are more effective than paper and pencil drills for children learning the multiplication tables.
Census
Sample Study
Observational Study
Experiment
For each situation, choose the most appropriate technique for collecting data. Use the technique exactly once.
Find out if not using car seat belts increases deaths and accidents.
Census
Sample Study
Observational Study
Experiment
How old is the athlete?
Statistical
Non-Statistical
How many pets does each 6th grader have?
Statistical
Non-Statistical
Given a mean of 75 and a standard deviation of 7, what percentage of scores are between 75 and 82?
68%
81.5%
16%
34%
The average weight of a newborn is 7.5 pounds, with a standard deviation of 1.25 pounds. Birth weight follows the standard normal curve. What percent of newborns weigh 5 pounds or less at birth?
2.35%
0.15%
2.5%
50%
According to the empirical rule, what percentage of data falls within 1 standard deviation of the mean?
25%
68%
95%
99.7%
If this is the graph of data normally distributed with a mean of 30 and a standard deviation of 5, what label (number) is written at the blue circle?
20
15
40
30
Use the following information and the Empirical Rule to estimate the answer.
The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.
There are 500 golf members at the Mathy Country Club. How many are younger than 34?
16
80
100
150
Given a mean of 75 and a standard deviation of 7, how many students out of 500 would score between 68 and 82
11
2
340
498
68% of the marks in a test are between 51 and 64
Assuming this data is normally distributed, what are the mean and standard deviation?
Mean = 57
S.D. = 6.5
Mean = 57
S.D. = 7
Mean = 57.5
S.D. = 6.5
Mean = 57.5
S.D. = 13
