Revision Test 1Mathematics 1 (MTH1012)

Session Jun 2013

1. Calculate and round off the following operations to significant figures shown in bracket { }

a. 23.8799+0.459−0.0000348 {3 }

b. (0.67+8.9)×89.768 {4 }

c. (23.687×0.8 )−76.57+0.107 {3 }

d. 8.989−46.324

{4 }

2. The volume of 14 bottles of orange juice is 0.8951 l. Find the volume of 1 bottle of the orange juice

in millilitre(ml).

3. A cube shaped box has a base area of 144c m2 the volume in m3 of the box.

4. Find the value for the following and state the answers in standard form:

a. (0.54×0.03¿+(0.048×0.2)

b.1.5×103−2.5×102

0.0541

c. 1.356×10−3+7.77×104

d.0.00789×8.3422×105

3.0678×10−2

5. Solve the equations for 12−2 (3−h )=5h+4.

6. Find the value of a for 7a+49=−45

.

7. Solve the following quadratic equation by using Completing the Square Method:

a. −4 x2−8 x=−2.

b. 2 x2+5 x−12=0

c. k 2−3k+2=2 (k−1)

8. Solve the quadratics equation of y2−2 y=35 by using Formula.

9. Find the values of m and n for the simultaneous equation below:

1x+ 1y=2 4

x−2y=4

10. Calculate the simultaneous equations given as follow:

6 p+q=2

3 p−2q=−7

11. Calculate the values of x and y that satisfy the following simultaneous linear equation:

3 x+ y=−1

x−2 y=16

12. Graph the solutions of each inequality on a number line.

a. 2≤x<5

b. x≤−2 , x ≥3

13. Solve 5−2 p≤3and express the solution by using interval notation.

14. Given 5−3x ≥2x2, find the values of x that satisfy the equation and provide the answer in set of

solution.

15. Find the solution set of:

a. 4y - 3 (2 y+5 )>5 ( y+2 )−4 ( y−3 )

b. 2 x+9>7

c. 10−7 x≥2−x

16. Solve the following inequalities and give the set of solution

x2−3 x−4 ≥0

17. Solve the absolute equation

|2 x−7|=x+3

18. Solve each absolute value equations :

a. |x+1|=5

b. |3 x|+2=16

c. |2 x−7|=|x+3|