This is the part 4 of free mtap reviewer for grade 8. It is also advisable to review reviewers for grade 7. Check this page to check all available reviewers for grade 8. Most of the topics here is already been discussed in this blog. If you want to know the tutorials. Use the custom search engine on the upper right part and type the keyword. I personally include some hints so that you will know what to find.

1. Evaluate: 67^2-66^2 (hint : Use sum and difference of two squares factoring)

2. What is the coefficient of x^3y^5 in the expansion of (x+y)^8? ( Hint: Binomial Theorem)

3. The length of a rectangle is 5 more than twice the width. If the perimeter is  58cm. What is the area of the rectangle?

4. the supplement of the angle is 8 more than twice its complement. What is the angle?

5. What is the greatest integer function of 4.9?

6. What is the domain of f(x)=\sqrt{2-\sqrt{x-2}}? (Hint: Range and Domain of a function)

7. What is the range of equation in #6?

8. Find a quadratic equation with integral coefficients if one root of quadratic equation is 3-\sqrt{2}.

9. Find the value of A  and  B if  x^2-4=A(x-6)+B(x+6).

10. Find the area of a triangle enclosed by the x-axis, y-axis and the line 2x+3y=6.

11. The area of a square is numerically equal to its perimeter. What is the minimum are of the square with such property?

12. Factor completely: x^4+64. (Hint: SFFT )

13. What is the remainder when 2x^2-3x+1 is divided by x-2? ( hint: remainder theorem)

14. Simplify: \sqrt{5+\sqrt{5+\sqrt{5+\ldots}}} (hint: nested quadratic equation)

15. If x-2 is a factor of f(x)=3x^2-Ax+2.  What is A?

16. \Delta ABC has sides a,b,c equal to 6,7,9 respectively. Arrange the angles from least to greatest.

17. John is travelling to school with a speed of 18 kph and come back home with a speed 22 kph. What is his average speed? ( hint: Average Speed)

18. How many squares are there in a standard cheesboard?

19. 10 people are sitting around a round table. Each one them made a handshake with each other. How many handshakes occur if each one of them refused to have a handshake with the person right beside them? ( Hint: Handshake Problem)

20. If x^2-3x+1=0. What is the value of x^4+\displaystyle\frac{1}{x^4}? (hint: Algebraic Identities)


Answer Key

1. 133

2. 56

3. 168 cm2

4. 8°

5. 4

6. [2,6]

7. [0,√2]

8. x2-6x+7=0

9. A=-8/3, B=8/3

10. 3 sq. units

11. 4 sq. units

12. (x2-4x+8)(x2+4x+8)

13. 3

14. (1+√21)/2

15. A=7

16. \angle{A},\angle{B},\angle{C}

17. 19.8 kph

18. 204

19. 35

20. 47

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