# ข้อสอบ คณิตศาสตร์ สอบเข้า ม.4 รวมไว้ครบ มีเฉลยให้เช็กคำตอบ

## คณิต EP ม.4

1. If 6.54 x 10

^{n}= 65,400, what is the value of n?
2. Which letter has both line and point symmetry?

3. Marilyn selects a piece of candy at random from a jar that contains four peppermint, five cherry, three butterscotch, and two lemon candies. What is the probability that the candy she selects is not a cherry candy?

4. The formula for converting temperatures in degrees Celsius to degrees Fahrenheit is F = \frac{9}{5}C + 32. If the temperature is 20°C, what is the temperature in degrees Fahrenheit?

5. Andy drives 80 miles to get to the Thruway, drives 100 miles on the Thruway, and then drives an additional 75 miles after leaving the Thruway. If the entire trip took 5 hours and he made no stops, what was his average speed, in miles per hour?

6. Which property is illustrated by the equation 4x (2x - 1) = 8x^2 - 4x?

7. What is the sum of 2m^2 + 3m - 4 and m^2 - 3m -2?

8. In the accompanying diagram, line n is parallel to line m, line t is a transversal, and m⦟1=24

What does x equal, in degrees?

What does x equal, in degrees?

9. If a machine that prints designs on T-shirts prints 500 shirts in 3 hours, how many hours will it take to print designs on 1,800 shirts?

10. The sum of two negative numbers always has to be

11. The width, w , of a rectangular rug is 4 less than its length, l. Which expression represents the area of the rug?

12. What is the value of m in the equation 2m - (m + 1 ) = 0?

13. What is the converse of the statement "If a^2+b^2=c^2 , then ∆ABC is a right triangle”?

14. Pentagon

**ABCDE**is similar to pentagon**FGHIJ**. The lengths of the sides of**ABCDE**are 8, 9, 10, 11, and 12. If the length of the longest side of pentagon**FGHIJ**is 18, what is the perimeter of pentagon**FGHIJ**?
15. Which inequality is shown on the accompanying graph?

16. A teacher wants to divide her class into groups. Which expression represents the number of different 3-person groups that can be formed from a class of 22 students?

17. What is 6x^3 + 4x^2 + 2x divided by 2x?

18. The greatest common factor of 4a^2b and 6ab^3 is

19. The statement “Maya plays on the basketball team or Maya joins the ski club” is false. Which statement is true?

20. The measures of five of the interior angles of a hexagon are 150°, 100°, 80°, 165°, and 150°. What is the measure of the sixth interior angle?

21. For which value of x is the expression \frac{3x - 3}{x - 5} undefined?

22. Which point is in the solution set of the system of inequalities shown on the accompanying graph?

23. In the accompanying diagram, the center of circle O is (0,0), and the coordinates of point P are (3,4). If ¯OP is a radius, what is the equation of the circle?

24 The expression (-4a^3b)^2 is equivalent to

25. For which equation is the solution set {-5,2 } ?

26. When the Smith family decided to have their new house built, they found that there were 60 different choices involving location, style, and color. If they had their choice of 2 locations and 5 styles, how many choices of color did they have?

27. In a survey, 450 high school students were asked for their preference of fast food for lunch. The accompanying circle graph represents the results.

How many students preferred salad?

How many students preferred salad?

28. A line with a slope of \frac{1}{3} passes through the point (3,6). Which point also lies on this line?

29. Which statement is logically equivalent to “If I sleep, then I will not eat”?

30. Phil is cutting a triangular piece of tile. If the triangle is scalene, which set of numbers could represent the lengths of the sides?

คณิต EP ม.4

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