rapid test

1. RAPID MATHEMATICS
ASSESSMENT
for Grades 7 to 10

4. 1. Your classmate said that each of the four expressions in Box 1 is
equivalent to 1. Verify what your classmate said by showing
your computation for the number expression 4 × 4−5×3.
2. What must be the next number expression to 5 × 5 − 6 ×4 in
Box 1?

5. 3. Which of the following algebraic expressions represents the
set of number expressions in Box 1?
a. ( )( )−( +3)( +1)
𝑛 𝑛 𝑛 𝑛
b. b. ( )( )−[( +1)( −1)]
𝑛 𝑛 𝑛 𝑛
c. c. ( −1)( −1)− ( −2)
𝑛 𝑛 𝑛 𝑛
d. d. 2 −3 (1)
𝑛 𝑛
e. e. 2 − −1
𝑛 𝑛

6. 4. Explain or show why you think you have chosen
the correct algebraic expressions for the set of
number expressions in Box 1.
5. What does 𝑛 represent in your chosen expression
in item 3?

8. 7. Write the exponential
form of 1024.

9. 8. Find a number that is a power of 2
that meets BOTH of these conditions:
● The number is a multiple of 16.
● The number is also more than 50 but less
than 200.

10. 9. Is there a number between
0.998 and 0.999?
If YES, give one example.
If NO, explain why you think so.

11. 10. Show how you will
subtract 0.998 from 0.999.

12. If YES, give one example.
If NO, explain why you think so.

13. 12. How many students had an overall academic grade below 84?
[Refer to Figure 1]

14. 13. Explain why you think your answer in item 12 is correct
based on the information shown in the graph in Figure 1

15. 14. Which of the following can be a correct
interpretation of the data presented in the
graph in Figure 1?
a. As the number of absences increases,
the overall academic grade also increases.
b. As the number of absences decreases,
the overall academic grade increases.
c. As the number of absences increases,
the overall academic grade decreases.
d. As the number of absences decreases,
the overall academic grade also decreases.

16. 15. Based on the graph in Figure 2, which of the two puroks shows more
diversity in monthly family income? Explain or justify your answer.

17. 16. The average monthly income of the families in Purok 1 and Purok 2 are equal. Should
both purok be given the same amount of financial aid? What information in the graph in
Figure 2 did you base your decision on?

18. 17. How many students participated in the music activity? 110

19. 18. How many students did not participate in any of the two
activities?

20. 19. What is the probability of selecting a student who
participated in both music and sports activities?

21. 20. Write a question that can be answered using the information in
Table 2.

23. 22. What is the position of point in Figure 3?
𝐺

24. 23. What are the coordinates of Point in Figure 4?
𝐶

25. 24. A line is drawn passing through points and in Figure 4. Select two
𝐵 𝐶
ordered pairs that represent the coordinates of points that are also in this line.
a. (1, -1) b. (1, -2) c. (2, 3) d. (3, 2) e. (4, 7) f. (5, 6)

26. 25. Draw a line through points and in Figure 4. Which of the following ordered
𝐴 𝐵
pairs represent all the points that are on this line
a. ( , −2 )
𝑥 𝑥 b. ( , −2 +1)
𝑥 𝑥 c. ( , − )
𝑥 𝑥 d. ( , − +1)
𝑥 𝑥 e. ( , − +2)
𝑥 𝑥

28. 28. Show or explain how you determined your answer in item 27.

31. 31. Write two possible values for 𝑎 and 𝑏 that
will make the equation in Box 2 true.

34. 34. How much does it cost to rent the tricycle for 5 days?
[Refer to Figure 5]

35. 35. What does the number
250 in the formula
represent? [Refer to Figure 5]
a. The daily cost of renting
the tricycle.
b. The number of days the
tricycle is rented.
c. The fixed cost of renting
the tricycle.
d. The total cost of renting
for one day.

36. 36. In Figure 5, what does the number 200 in the formula represent?

37. 37. What aspect of
the graph in Figure 5
represents the 200
in the formula?
a. x-intercept
b. y-intercept
c. Slope
d. minimum point

38. 38. In Figure 6, if the measure of angle P is
30 degrees (that is, p = 30), which of the
following are possible values for q and r?
Choose 2 that are correct among the
choices.
Note that the triangle is not drawn to
scale.
a. q = 10 and r = 140
b. q = 10 and r = 130
c. q = 110 and r = 30
d. q = 100 and r = 80
e. q = 100 and r = 50

41. 41. What are the lengths of the other two
sides of the triangular dog house? [Refer to
Figure 7]
a. The other two sides are 1.5 meters each.
b. The other two sides are 2 meters and 3 meters.
c. The other two sides are 3 meters each.
d. The other two sides are 4 meters and 6 meters.

42. 42. In Figure 7, are the sides of the triangular dog house proportional to the
sides of the triangular toy storage? Show your solution or explain your answer.

43. 43. The base of the toy storage measures 25 centimeters. What are the lengths
of its other two sides? [Refer to Figure 7]
a. The other two sides are 37.5 centimeters each.
b. The other two sides measure 50 and 75 centimeters.
c. The other two sides are 75 centimeters each.
d. The other two sides measure 100 and 150 centimeters.

44. 44. What is the area of the sidewalk in square meters surrounding
the pool? Show your solution. [Refer to Figure 8] Use pi = 3.14.