In 2013 E.C AbuneGorgorios junior and secondary preparatory school Mathematics work sheet - 3 for grade 8.
Student’s Name ________________________ Grade & Section __________ Roll No ____
Write “True’’ if the statement is correct and “False” if the statement is incorrect on the space provided .
i.
______ 1. The sum of three consecutive integers is always odd.
______ 2. For all rational numbers x & y if x < y, then x2< y2.
______ 3. For any rational number x ; x2< x3.
______ 4. The line y = 3 is parallel to x-axis.
______ 5. For rational numbers a, b &c ; /c < 0/ if a < b, the ac >bc .
______ 6. Any two squares are similar
______ 7. If x = 9, then √𝑥 + 6 = 15.
______ 8. If point A =(2,3) & B = (3,3) , then line AB is parallel to x-axis.
______ 9.The term 5xyz is a trinomial.
______ 10. The HCF of 30xy and 18xz is 6x.
ii.
Choose the correct answer from the given alternatives and write the answer on the space provided.
______ 11. Which point is located on quadrant II ?
A. (2,3)
B.(-2,3)
C. (5, -6)
D.(-3,-4)
______ 12. Which of the following has no solution on the set of natural numbers?
A. 2(x + 2) > 2x + 2
B. 2x -2 = 4
C.2(x + 2) = 2x - 2
D. 2x – 2 > 3
______ 13. Which one of the following is not perfect square number?
A. 8 B. 27
C. 64
D.81
______ 14. If x = 5, then x2 + 2x =______ A. 20
B. 50
C. 35
D. 12
______ 15. 22/3 * 0.272727…. = ______A. 1
B. 2
C. 3
D. 4
______ 16. Which is true about the graph of the form y = mx + b, m ≠0
y
A. m> 0 & b > 0
x
B. m > 0 & b < 0
C. m < 0 & b < 0
D. m < 0 & b >0
y =mx+b
______ 17. Which of the following is true?
A. (2.3)3 = (-2.3)3
B. (2.5)2 = -(2.5)2
2
2
2
______ 18. If (a+b) = 33 & a + b = 15, then ab = _____
A. 9
B. 11
C. 18
D. 22
______ 19.If x = 2y, then which is equal with x+y ?
3
A. 4y
B. 3y
C. 5y
D. y
C. (3)2> (-4)2
D. (7)2> (6.98)2
2
iii.
Work out/ show all necessary steps.
20. word problems
a. A farmer has goats and hens such that the goats and hens together have 20 heads and 56 legs.
How many goats and hens does the farmer have?
b. A man is 32 years old than his son. Ten years ago he was three times as old as his son was then,
find the present ages of each?
c. When a number is doubled and then add to 13, the result is 38. Find the number?
21. Find the solution sets of the following
3
a. 8(2 - x) = 7 – x ,(x ɛ Q)
c. 70 + (x - 4) ≤ 3x- (2 – 2x), (x ∈ Z)
𝑥+1 2𝑥
2
b.
> -1 ,(x ɛ N)
d. 1.2h – 0.9= 0.3 + h, (h ɛ Q+ )
3
5
22. write the simplified value of the following
a. √3 (√12- √3) = ________ c. (x + 3)2 - (x - 2)2 = _________
12√5 5√3
b.
*
= __________
d. 3√17𝑚5 𝑛9 = ________
15√2 √30
23. Cartesian coordinate system
a. what is the slope& y-intercept of 4y – 12x = 8? Slope = _______ & y-intercept = ________
b. what is the slope-intercept formula of the graph that passes through the points (3,3) & (1.-1) ?
c. Find m, if point (m,5) lies on the line given by the equation 5x – y = 20 ?
set by: Kibruyisfa E.