CST Summative Math Review

1. If x2 is added to x, the sum is 42. Which of the following could be the value of x?

A. -7

B. -6

C. 14

D. 42

2. Leanne correctly solved the equation x2+4x=6 by completing the square. Which equation is part of her solution?

A. (x+2)2=8

B. (x+2)2=10

C. (x+4)2=10

D. (x+4)2=22

3. A 13 foot ladder is leaning against a wall. The top of the ladder touches the wall 12 feet above the ground. The bottom of the ladder is 5 ft from the bottom of the wall. What is the sine of the angle formed by the ground and the base of the ladder?

A. 5/12B. 5/13C. 12/13D. 13/5

4. An 8 ft ladder is leaning against a wall. The ladder makes a 53° angle with the wall. Which is closest to the distance up the wall the ladder reaches?

sin 53°=0.8.cos 53°=0.60tan 53°=1.33

A. 3.2 ftB. 4.8 ftC. 6.4 ftD. 9.6 ft

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Why should I do well on the CST?

Students get to keep their electives and not be placed

in support classes

How can I improve my score?

Eliminate all wrong answers first and then take a guess of the

remaining answers if you are not sure.

7. Which point lies on the line represented by the equation below?

5x + 4y = 22

A (-2, 11/4)

B (-1, 17/4)

C (2, 3)

D (6, 2)

8. The equation of line l is 6x+5y=3, and the equation of line q is 5x-6y=0. Which statement about the two line is true?

A. Lines l and q have the same y-intercept

B. Lines l and q are parallel

C. Lines l and q have the same x-intercept

D. Lines l and q are perpendicular

9. RB is tangent to a circle whose center is A, at point B. BD is a diameter.

What is m CBR?

A. 50°B. 65°C. 90°D. 130°

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Why should I do well on the CST?

Students can test out of support classes if they do well (ELD, Math/English

topics, etc)

How can I improve my score?

Answer every question – don’t leave any blank.

12. 13. (4x 2−2x +8)−(x 2+ 3x −2)=

A 3x2+x+6

B 3x2+x+10

C 3x2−5x+6

D 3x2−5x+10

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14. In the circle below, AB and CD are chords intersecting at E.

If AE=5, BE=12, and CE=6, what is the length of DE?

A. 7B. 9C. 10D. 13

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How can I improve my score?

Don’ t spend too much time on any one problem. Do the problems you know first and then go back

and try to answer the harder questions.

17. A rectangle has a diagonal that measures 10 cm and a length that is 2 cm longer than the width. What is the width of the rectangle in centimeters?

A. 5

B. 6

C. 8

D. 12

18. A pharmacist mixed some 10% saline solution with some 15% saline solution to obtain 100 mL of a 12% saline solution. How much of the 10% saline solution did the pharmacist use in the mixture?

A. 60 mL

B. 45 mL

C. 40 mL

D. 25 mL

19. A right circular cone has radius 5 inches and height 8 inches. What is the lateral area of the cone? (Lateral area of cone=πrl, where l=slant height)

A. 40 π sq inB. 445 π sq inC. 5 π√39 sq inD. 5 π √89 sq in

20. If a cylindrical barrel measures 22 inches in diameter, how many inches will it roll in 8 revolutions along a smooth surface?

A. 121 π inB. 168 π inC. 176 π inD. 228 π in

21. The ages of a group of students are listed below.

13, 17, 15, 18, 16, 15, 14, 11, 19, 17, 16, 15, 19

What is the range and mode for the ages?

A. Range = 6 mode = 16

B. Range = 8 mode = 16

C. Range = 8 mode = 15

D. Range = 6 mode = 15

22. The daily high temperatures for a certain week are listed below.

65°, 40°, 70°, 45°, 75°, 50°, 61°

What is the mean and median high temperature for the week?

A. Mean = 56° median = 65°

B. Mean = 61° median = 58°

C. Mean = 57° median = 61°

D. Mean = 58° median = 61°

Why should I do well on the CST?

If we meet our API goal of 777 we will get cool stuff!!!

How can I improve my score?

Write in the test booklet and show work on math problems.

23. The sum of two binomials is 5x2−6x. If one of the binomials is 3x2 −2x, what is the other binomial?

A 2x2−4x

B 2x2−8x

C 8x2+4x

D 8x2−8x

24. Which of the following expressions is equal to (x+2)+(x−2)(2x+1)?

A 2x2 −2x

B 2x2 −4x

C 2x2 +x

D 4x2 +2x

25. What is the area, in square units, of the trapezoid shown below?

A. 37.5

B. 42.5

C. 50

D. 100

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Why should I do well on the CST?

We want to be the number one school in Fontana!

How can I improve my score?

Don’t rush through the problems.