Free Printable PRE-EVALUATION

1.

What is the 30^thelement of the arithmetic sequence for which the first element is 5 and the third is 13?

a)

237

b)

125

c)

121

d)

150

2.

Mary was four times as old as Ann four years ago and if Mary will be twice as old as Ann four years hence. How old is Ann?

a)

14

b)

12

c)

10

d)

8

3.

A series of numbers wherein each term is derived from the previous term by adding a fixed value is known as a/an _____ sequence:

a)

arithmetic

b)

geometric

c)

harmonic

d)

analytic

4.

The number of centimeters in the perimeter of a certain square is equal to the number of square centimeter in its area. Find the length of the sides of the square.

a)

5 cm

b)

2 cm

c)

4 cm

d)

6 cm

5.

The sum of the ages of David and Ann is 25. Five years ago David was four times as old as Ann. How old is David.

a)

17

b)

28

c)

21

d)

24

6.

The difference between the square of a positive number and the number itself is 42, what is the number?

a)

8

b)

10

c)

7

d)

9

7.

Give a 3^rd term so that 4x⁴ + 9y² becomes a perfect square trinomial.

a)

12x²y²

b)

12x²y

c)

36x²y

d)

6x²y

8.

x³ – y³ is equivalent to which of the following?

a)

(x–y)(x²+2xy+y²)

b)

(x–y)(x²+xy+y²)

c)

(x–y)(x²+y²)

d)

(x–y)³

9.

Give the sum of the roots of 2x² – 8x + 1

a)

2

b)

-2

c)

4

d)

-5

10.

(x – 3) x + 2 is equivalent to

a)

x²+ 5x – 6

b)

x²– 3x + 2

c)

x²– x – 6

d)

(x–3)(x+2)

11.

If a kid was x years old 5 years ago, how old is he now?

a)

5x

b)

x + 5

c)

5x – 5

d)

x – 5

12.

If there are x 1-peso coins and y 50-cent coins, how much is the total value?

a)

x + y + 1.50

b)

x + 0.50y

c)

x + 50y

d)

1.50(x + y)

13.

The value of x in the equation 4x – 2 = 6x + 12 is _______.

a)

5

b)

-5

c)

7

d)

-7

14.

Find the slope of the line joining P(4, 8) and Q(-6, -3).

a)

2

b)

-2

c)

5

d)

-5

15.

Solve 2x – 3 = x + 21

a)

x = 12

b)

x = 18

c)

x = 24

d)

x = 28

16.

Solve (x – 2)(x + 5) = x² + 4x – 8

a)

x = 2

b)

x = -2

c)

x = 4

d)

x = -4

17.

How many kilos of rice costing P28 per kilo should be mixed with 60 kilos of rice costing P32 per kilo to produce a mixture that can be sold for P30 per kilo?

a)

30

b)

50

c)

60

d)

75

18.

My wallet contains three types of bills (P10, P20, and P50) totaling P1000. The number of P20-bills is 1/3 the number of P10 bills and the number of P50 bills is four times the number of P20 bills. How many of each kind of bills are there in my wallet?

a)

4 P20-bills, 12 P10-bills and 16 P50-bills

b)

5 P20-bills, 10 P10-bills and 18 P50-bills

c)

4 P20-bills, 14 P10-bills and 18 P50-bills

d)

5 P20-bills, 14 P10-bills and 16 P50-bills

19.

For security reasons, the required maximum angle of elevation for a rescue ladder is 72°. If a fire department’s longest ladder is 110 feet, what is the maximum safe rescue height?

a)

104.6 ft

b)

98.50 ft

c)

110.0 ft

d)

102.60 ft

20.

Using this sequence 1, 4, 7, 10, …,determine the sum of the first 20 terms.

a)

560

b)

590

c)

585

d)

610

21.

Each bacterium splits into 4 bacteria every hour. If there are 4 bacteria at the start, how many will there be after 5 hours?

a)

. 64

b)

1024

c)

4096

d)

256

22.

A certain angle has a supplement five times its complement. Find the angle.

a)

67.5^o

b)

157.5^o

c)

168.5^o

d)

186.0^o

23.

If

\sin\theta\ -\ \cos\ \theta\ =\frac{1}{2}

, and

\sin\theta\cos\theta\ =\ -1,

find

\sin^3\theta-\cos^3\theta

a)

0

b)

1

c)

-1

d)

-2

24.

A swimming pool is 20 meters long and 12 meters wide. The bottom of the pool is slanted so that the water depth is 1.3 meters at the shallow end and 4 meters at the deep end. Find the angle of depression of the bottom of the pool.

a)

7.69°

b)

5.7º

c)

10.5 º

d)

9.8º

25.

The angle of elevation of a tree from a point on the ground 42 m from its base is 33°. How high is the tree?

a)

25.60 m

b)

27.28 m

c)

30.40 m

d)

45.3 m

e)

16.68 m

26.

If , $\tan\alpha\ =2$ , what is $\sin^2\alpha$ ?

a)

2/3

b)

1/5

c)

4/9

d)

4/5

e)

3/5

27.

What is the value of k such that the lines whose equation are $3x\ +\ 6ky\ =7$ and $9kx+8y+15=0$ are parallel?

a)

2/3

b)

1/4

c)

8/9

d)

4/5

e)

1

28.

The midpoint of the line segment between $P_1\ \left(x,y\right)\ and\ P_2\ \left(-2,4\right)\ is\ P_m\ \left(2,-1\right)$ . Find the coordinate of $P_1$ .

a)

(-5, 5)

b)

(-6, 6)

c)

(5, -6)

d)

(6, -6)

e)

(6, -5)

29.

The chords of the ellipse $64x^2\ +\ 25y^2\ =\ 1600$ having equal slopes of 1/5 are bisected by its diameter. Determine the equation of the diameter of the ellipse.

a)

64x + 5y =0

b)

5x + 64y =0

c)

5x - 64y =0

d)

64x -5y =0

e)

-5x +64y =0

30.

Find the equation of the line through that is perpendicular to the line x + 5y + 5 = 0.

a)

3x – y + 12 = 0

b)

5x – y – 14 = 0

c)

5y –x = 14

d)

4x – y – 14 = 0

e)

6x – y – 13 = 0

PRE-EVALUATION

Total questions: 30

Worksheet time: 26mins

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