mathematics 4ever: Tryout

THE TRYOUT

FIRST SEMESTER EXAMINATION

GRADE VIII

1. The simplest form of 2x² - 5x - x + 7x² is ... .

a. 9x² - 6x c. 9x² + 6x

b. 9x² - 4x d. 9x² + 4x

2. Factorization of 21p² + 28pq – 14p is ... .

a. 3p + 4q - 2 c. p(21p + 28q – 14)

b. 7p(3p + 4q – 2) d. 7(3p2 + 4pq – 2q)

3. The simplest form of

is … .

4. The result of

is … .

5. The expansion of ( x – 1 )³ is ... .

a. x³ - 3x² + 3x - 1 c. x³ – 3x² + 3x + 1

b. x³ + 3x²+ 3x - 1 d. x³ + 3x² + 3x + 1

6. The expansion of

is … .

7. The simplest form of

is … .

8. The simplest form of

is … .

x + 1 Look at the figure on the left side. The area of the shaded region in the simplest form is … .

a. 2x² + 6x + 14

2x + 3 b. 2x² + 8x + 12

c. 2x² + 6x + 9

d. 2x² + 8x + 6

x + 1

x + 4

10. Given P = { a , b} and Q = { 1 , 2 , 3 , 4 }. The ordered pair set below that is a function from P to Q is … .

a. {( a , 4 ) , ( b , 4 )} c. {( a , 1) , ( a , 2 ) , ( a , 3 ) , ( a , 4 )}

b. {( a , 1 ), ( a , 2 ) , ( b , 3 ) , ( b , 4 )} d. {( a , b) , ( b , 1) , ( 1 , 2 ) , ( 2 , 3 ) , ( 3 , 4 )}

11. Given A = { 1 , 2 , 3 , 4 , 5 }and B = { 1 , 2 , 3 , 4 }. The following arrow diagram that is the relation “two more than” from set A to set B is … .

a. A B c. A B

1• •1 1• •1

2• •2 2• •2

3• •3 3• •3

4• •4 4• •4

5• 5•

b. A B d. A B

1• •1 1• •1

2• •2 2• •2

3• •3 3• •3

4• •4 4• •4

5• 5•

12. Given A = { a , b , c , d } and B = {x │1 ≤ x < 5, x is an integers }.The number of possible one to one correspondences from set A to set B is … .

a. 4 c. 24

b. 16 d. 64

13. The value of a on the table below is equal to … .

x	–2	0	3
3 – 4x	3 – 4(–2)	3 – 4(0)	3 – 4(3)
f(x) = 3 – 4x	a	3	–9

a. –3 c. 5

b. 1 d. 11

14. A function is defined as f : x → 4x – 3. If the domain is {x │‌1 ≤ x < 4, x Î integer }, then the range is … .

a. { 1 , 2 , 3 } c. { 1 , 2 , 3 , 4 }

b. { 1 , 5 , 9 } d. { 1 , 5 , 9 , 13 }

15. Given f(x) = 2x² – 1, x

{ –2 , –1 , 0 , 1 , 2}. The function graph is … .

a. c.

b. d.

16. A function h is defined as h(x) = 7x + 9. If h(a) = –12, then the value of a is equal to … .

a. 3 c. –1

b. 1 d. –3

17. Given g : x → 3x² - 2x + 1, x is a real number. The value of g(-3) is … .

a. –20 c. 34

b. 22 d. 40

18. For the function h : x → mx + n, h(–2) = 1 and h(0) = 5. The function formula of h is … .

a. h(x) = 2x + 5 c. h(x) = 2x – 5

b. h(x) = 5x + 2 d. h(x) = 5x – 2

19.

Look at the figure on the left side.

k The gradient of the line k is … .

20. The gradient of a line that perpendicular to the line 2x + 5y = 5 is … .

21. Which of the following linear equations has a negative slope?

a. 6 = y – x c. –5x + y = 1

b. y = 4x – 5 d. 6y + x = 7

22. The equation of the line passing through the point ( 2 , 3 ) and parallel to the line 2x +3y = 6 is … .

a. 3x + 2y – 12 = 0 c. 2x + 3y +13 = 0

b. 3x – 2y – 12 = 0 d. 2x + 3y – 13 = 0

23. The equation of straight line passing through the points ( –4 , 7 ) and ( 10 , –1 ) is … .

a. 3y + 4x – 37 = 0 c. 7y + 3x – 37 = 0

b. 3y + 3x – 19 = 0 d. 7y + 4x – 33 = 0

24. Look at the following figure.

The line equation for g is … .

a. x – 4y = –2

b. 4y – x = –2

c. x – 4y = 8

d. 4y – x = 8

25. The pair of points of intersection of the line 3x – 4y – 12 = 0 to x-axis and y-axis consecutively are … .

a. ( –4 , 3 ) and ( 3 , –4 ) c. ( 4 , 0 ) and ( 0 , –3 )

b. (–3 , 4 ) and ( 4 , –3 ) d. ( 4 , 0 ) and ( 0 , 3 )

26. Which of the following statements is a linear equation with two variables?

a. xy + 1 = 2 c. 3y = y – 4

b. 2x = y – 3 d. y = x² + 4

27. The solution set of x + 3y = 3 and x + y = 1 ; x, y

R is … .

a. {( 0 , 1 )} c. {( 1 ,

)}

b. {( 1 , 0 )} d. {(

, 1 )}

28. The sum of two numbers is 65 and their difference is 11. One of those numbers is … .

a. 25 c. 38

b. 30 d. 40

29. A fruit seller sells 5 mangoes and 3 apples at the price of Rp. 8,750.00. Then he sells 4 mangoes and 8 apples at the price of Rp. 14,000.00. The price of 1 mango and 1 apple consecutively are … .

a. Rp. 1,000.00 and Rp. 1,150.00 c. Rp. 1,000.00 and Rp. 1,250.00

b. Rp. 1,100.00 and Rp. 1,150.00 d. Rp. 1,100.00 and Rp. 1,250.00

30. Given that

and

. The value of

is … .

a. 3 c. 6

b. 4 d. 7

31.

Look at the figure on the left side.

Given the perimeter of the rectangle is 44 cm.

(h–2) cm Form of a linear equation that shows the perimeter of the rectangle is … .

2k cm a. 4h + 2k = 11

b. 2h + 4k = 25

c. 2h + k = 12

d. h + 2k = 24

32. Given that f(x) = ax + b, f(4) = 4 and f(2) = –2. The function formula is … .

a. f(x) = 3x – 8 c. f(x) = 4x – 6

b. f(x) = 3x + 8 d. f(x) = 4x + 6

33. The solution to the system of equations consisting of 3x – 5y = 31 and 2x + y = 12 is given by … .

a. x = 2 and y = –7 c. x = 7 and y = –2

b. x = –7 and y = 2 d. x = –2 and y = 7

34. Mr. Doni is 9 times as old as Ana. In four years, Mr. Doni will be 5 times as old as Ana. Mr. Doni’s age in the coming four years is … .

a. 20 c. 34

b. 22 d. 40

35. Which of the following groups of dimensions can form a right angled triangle?

a. 10 cm, 11 cm, 19 cm c. 8 cm, 13 cm, 15 cm

b. 9 cm, 40 cm, 41 cm d. 5 cm, 20 cm, 25 cm

36. Given that ABCD is a rectangle. If the diagonal of the rectangle is 25 cm and the length is 24 cm, its area is … .

a. 168 cm² c. 360 cm²

b. 216 cm² d. 600 cm²

37. A ladder leans against a wall. If the ladder is 10 m long and its bottom part is 6 m from the wall, the height of the ladder reach is … .

a. 8 m c. 10 m

b. 9 m d. 12 m

38. What is the perimeter of the following figure?

a. a² : 2

b. 2a + 2a²

c. 2a +

d. 4a

39. Andi is walking 50 m up to the top of a hill. If the height he has reached is 10 m, the horizontal distance through which he has been walking is … .

a. 10

m c. 20

b. 12

m d. 20

40. An equilateral triangle has a side measuring 10 cm in length. One of the altitudes of the triangle is … .

cm c.

cm d.

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