Name: _____________________________________________________
Class: ________
Grade 8 – Term 1 Revision Worksheet
PRACTICE TEST 1
PART I:
Question 1. (2 points) Fill in each blank with the most suitable word from the box.
Biased
Coefficient
Representative
Degree
Theoretical
Quartic
Experimental
Quadratic
a) A sample that has members chosen randomly from the population is a _____________________ sample.
b) The _____________________ probability shows what should be the chance of happening of an event.
c) The _____________________ of the −2𝑥𝑦 4 is −2.
d) A _____________________ polynomial is a polynomial that has a degree of 4.
Circle the letter in front of the choice that best answers the question:
Question 2. (0.5 point) To know which activities the students would like to have on Week 0, a teacher
asked 3 students from the basketball team. Which type of sample was used in the situation?
A.
B.
Population
Biased sample
C. Representative sample
D. None of the above
Use the diagram on the right to answer questions 3 and 4.
To promote their new products, a store gave their first 20 customers a
chance to spin a lucky wheel.
Question 3. (0.5 point) What was the theoretical probability of getting a
challenge when spinning the wheel?
A.
1
B.
8
1
C.
4
3
D.
4
7
8
Question 4. (0.5 point) What was the experimental probability of NOT
getting a gift or a voucher?
A.
1
B.
2
1
C.
5
2
D.
5
3
5
Number
Frequency
Voucher
Gift
Challenge
Good luck
2
6
5
7
Question 5. (0.5 point) The value of a stock is represented by 2𝑥 2 𝑦. Which is the correct classification of this
polynomial?
A.
Cubic monomial
B.
Linear polynomial
C. Quadratic monomial
D. Linear trinomial
Question 6. (0.5 point) Each person in a group wrote down a random polynomial as shown below:
2𝑥 2 𝑦 − 𝑥𝑦 3
𝑥 2 + 𝑥𝑦 − 1
2𝑥𝑦 − 4𝑦 4
−2𝑥 2 + 4𝑦 2
−2𝑥𝑦 + 𝑥 2
2
−𝑥 + 3𝑦 − 5𝑥𝑦
1 − 𝑥2𝑦2
How many quartic binomials are there?
A.
2
B.
3
C. 4
Page 1 of 4
D. 5
Question 7. Ron has a rectangular TV screen with the length of (5𝑥 − 𝑦) inches. The width of the screen is
(2𝑥 − 2𝑦) inches shorter than the length.
a) (0.5 point) Which is the width of the TV screen?
A.
3𝑥 − 3𝑦 𝑖𝑛
B.
3𝑥 − 𝑦 𝑖𝑛
C.
3𝑥 + 𝑦 𝑖𝑛
D.
7𝑥 − 3𝑦 𝑖𝑛
b) (0.5 point) What is the area of the TV screen in square inches?
A.
10𝑥 2 − 12𝑥𝑦 + 2𝑦 2
C.
15𝑥 2 − 8𝑥𝑦 − 𝑦 2
B.
15𝑥 2 + 2𝑥𝑦 + 𝑦 2
D.
15𝑥 2 + 2𝑥𝑦 − 𝑦 2
Question 8. (0.5 point) After 4𝑥𝑦 2 months, Sarah finally got a saving account of 12𝑥 4 𝑦 2 − 16𝑥 2 𝑦 3 + 8𝑥𝑦 3
dollars. How much did she have to save each month on average?
A. 3𝑥 3 𝑦 − 4𝑥𝑦 2 + 2𝑥𝑦 dollars
C. 3𝑥 2 − 4𝑥𝑦 + 2𝑥 2 𝑦 dollars
B. 3𝑥 3 − 4𝑥𝑦 + 2𝑦 dollars
D. 3𝑥 3 − 4𝑥 + 2𝑦 dollars
Question 9. A square tabletop has the side length of 3𝑥 + 𝑦 meters. They
paint a smaller square with a side length of 2𝑥 − 𝑦 meters in the center of
the tabletop in blue and the rest is painted white.
a) (0.5 point) Which is the area of the entire tabletop in square meters?
A.
4𝑥 2 − 4𝑥𝑦 + 𝑦 2
C.
9𝑥 2 + 6𝑥𝑦 + 𝑦 2
B.
4𝑥 2 + 4𝑥𝑦 + 𝑦 2
D.
9𝑥 2 − 6𝑥𝑦 + 𝑦 2
b) (0.5 point) Which is the area of tabletop that is painted white in square meters?
A. 5𝑥 2 − 2𝑥𝑦 + 2𝑦 2
C.
5𝑥 2 + 2𝑥𝑦 + 2𝑦 2
B. 5𝑥 2 + 10𝑥𝑦
D.
5𝑥 2 + 2𝑥𝑦
PART II:
Question 10. Jamie has a rectangular yard as shown below with all dimensions measured in meters. He
built a square pond at a corner of the yard. On the other side, he planted flowers along the width of the yard.
a) (1 point) Find the area of the entire yard.
b) (1 point) Find the area of the pond.
c) (1 point) How much space does the yard have left?
Page 2 of 4
Name: _____________________________________________________
Class: ________
Grade 8 – Term 1 Revision Worksheet
PRACTICE TEST 2
PART I:
Question 1. (2 points) Fill in each blank with the most suitable word from the box.
Biased
Coefficients
Representative
Variables
Theoretical
Cubic
Experimental
Trinomial
a) To form a strong team for the upcoming Math contest, the teacher chose 5 students with the highest
average scores. Here, the sample that the teacher used is a _____________________ sample.
b) _____________________ probability shows what the actual chance of happening of an event when carrying
out the experiment.
c) The _____________________ of the 3𝑥 3 𝑦 are 𝑥 and 𝑦.
d) A _____________________ is a polynomial that has 3 terms.
Circle the letter in front of the choice that best answers the question:
Question 2. (0.5 point) To find out the average height of the students in TOS, Anne measured the height of
10 random students from each grade. Assume that the number of students in each grade is about the same.
Which type of sample did Anne use?
A.
B.
Population
Biased sample
C. Representative sample
D. None of the above
Use the diagram on the right to answer questions 3 and 4.
Jack and Alex took turns rolling the dice to decide who must wash the
dishes. The results of 30 turns were recorded as shown.
Question 3. (0.5 point) What was the theoretical probability of getting
more than 2 dots?
A.
1
B.
6
1
C.
3
2
D.
3
5
6
Question 4. (0.5 point) What was the experimental probability of rolling
an even number of dots?
A.
1
B.
2
8
C.
15
3
D.
5
4
5
Number
Frequency
1
2
3
4
5
6
4
5
3
5
7
6
Question 5. (0.5 point) The position of a submarine underwater is represented by −2𝑥 2 − 4𝑥𝑦 2 . Which is
the most accurate classification of this polynomial?
A.
Quartic binomial
B.
Quadratic binomial
C. Quintic trinomial
D. Cubic binomial
Question 6. (0.5 point) Each person in a group wrote down a random polynomial as shown below:
3𝑥 2 𝑦 + 5𝑥𝑦
2𝑥 3 − 4𝑥𝑦 3 + 4
−𝑦 3 + 𝑦 2 − 1
−𝑥 + 3 + 𝑦 2
2𝑥𝑦𝑧 − 𝑥 2 𝑦 2 − 1
−3𝑥𝑦 2 + 𝑥 2 − 4
1 − 𝑥2𝑦2 + 𝑥4
How many cubic trinomials are there?
A.
2
B.
3
C. 4
Page 3 of 4
D. 5
Question 7. Jane has a rectangular piece of paper. The width of the piece of paper is (3𝑥 − 2𝑦) 𝑖𝑛. The
length of the piece paper is (2𝑦 − 𝑥) 𝑖𝑛 longer than the width.
a) (0.5 point) Which is the length of the piece of paper?
A.
5𝑥 − 3𝑦 𝑖𝑛
B.
4𝑥 𝑖𝑛
C.
2𝑥 + 4𝑦 𝑖𝑛
D.
2𝑥 𝑖𝑛
b) (0.5 point) What is the area of the piece of paper in square inches?
A.
−3𝑥 2 + 4𝑥𝑦 − 4𝑦 2
C.
6𝑥 2 − 4𝑥𝑦
B.
6𝑥 2 + 8𝑥𝑦 − 8𝑦 2
D.
12𝑥 2 − 8𝑥𝑦
Question 8. (0.5 point) After selling −2𝑥𝑦 litters of lemonade, Suzy got in total −4𝑥 3 𝑦 2 + 12𝑥 2 𝑦 3 − 6𝑥 2 𝑦 2
dollars. How much did she get from selling each litter of lemonade?
A. 2𝑥 2 𝑦 + 12𝑥 2 𝑦 3 − 6𝑥 2 𝑦 2 dollars
C. −2𝑥 2 𝑦 + 10𝑥𝑦 2 − 8𝑥𝑦 dollars
B. 2𝑥 2 𝑦 − 6𝑥𝑦 2 + 3𝑥𝑦 dollars
D. 8𝑥 4 𝑦 3 − 24𝑥 3 𝑦 4 + 12𝑥 3 𝑦 3 dollars
Question 9. A polaroid picture has a square image inside and a white
frame as shown in the picture. The unit is in centimeters.
a) (0.5 point) Which is the area of the square image in square
centimeters?
A.
9𝑥 2 − 𝑦 2
C.
9𝑥 2 + 6𝑥𝑦 + 𝑦 2
B.
9𝑥 2 + 3𝑥𝑦 + 𝑦 2
D.
9𝑥 2 − 6𝑥𝑦 + 𝑦 2
b) (0.5 point) Which is the area of the white frame in square
centimeters?
A. 25𝑥 2 + 6𝑥𝑦 + 3𝑦 2
C.
7𝑥 2 + 6𝑥𝑦 − 5𝑦 2
B. 25𝑥 2 − 6𝑥𝑦 + 5𝑦 2
D.
7𝑥 2 − 6𝑥𝑦 + 3𝑦 2
PART II:
Question 10. Janice built a pond along two edges of her garden. She then built a square sitting area next to
the pond as shown. Given that all the dimensions were measured in meters.
a) (1.5 point) Find the area of the sitting area.
b) (1.5 point) How much space does the garden have left?
Page 4 of 4