RMA

RAPID MATH ASSESSMENT (RMA) GRADE 7-10

1. Number Expressions Verification

  • Box 1 Number Expressions:

    • $2 imes 2 - 3 times 1$

    • $3 imes 3 - 4 times 2$

    • $4 imes 4 - 5 times 3$

    • $5 imes 5 - 6 times 4$

  • Verification Task (Item 1): Show computation for $4 imes 4 - 5 imes 3$.

    • Step 1: Compute $4 times 4 = 16$

    • Step 2: Compute $5 times 3 = 15$

    • Step 3: Subtract the results: $16 - 15$

    • Final Answer: $1$

2. Next Number Expression

  • Task (Item 2): Determine the next number expression for $5 times 5 - 6 times 4$.

    • Answer: Next expression is $6 times 6 - 7 imes 5$.

3. Algebraic Representation

  • Task (Item 3): Identify the algebraic expression representing the number expressions in Box 1.

    • Options:

    • a. $(n)(n) (n + 3)(n + 1)$

    • b. $(n)(n) - [(n + 1)(n - 1)]$

    • c. $(n-1)(n - 1) - n(n - 2)$

    • d. $n^2 - 3n(1)$

    • e. $n^2 - n - 1$

    • Observation: Since Box 1 simplifies to 1, the algebraic expression must also simplify to 1.

4. Identification of Numbers in Expressions

  • Task (Item 4): Identify the first and third numbers in the numerical expression.

    • 1st number: $-n$ in the numerical expression.

    • 3rd number: $-n$.

5. Powers of 2

  • Table 1: Powers of 2

    • Exponential Form: $2^2$, $2^3$, $2^4$, $2^5$

    • Expanded Form: $2 imes 2$, $2 imes 2 imes 2$, $2 imes 2 imes 2 imes 2$, $2 imes 2 imes 2 imes 2 imes 2$

    • Values: $4 (2^2)$, $8 (2^3)$, $16 (2^4)$, $32 (2^5)$

  • Tasks:

    • Item 6: Show that $1024$ is a power of $2$ using Table 1.

    • Item 7: Write the exponential form of $1024$.

6. Other Questions

  • Item 9: Inquiry on numbers between $0.998$ and $0.999$.

    • Answer: Yes, for example, $0.9995$ is one such number.

  • Item 10: Show computation for subtracting $0.998$ from $0.999$:

    • $0.999 - 0.998 = 0.001$

7. Student Absences and Grades Graph

  • Graph Information: Relationship between student absences (x-axis) and overall academic grades (y-axis)

    • Point representation: Each point corresponds to an individual student's data.

  • Tasks:

    • Item 12: Count students with a grade below 84 (observed from 5 points below the line).

    • Item 13: Justification based on the graph.

    • Item 14: Correct interpretations of the data shown:

    • a. As absences increase, overall academic grades also increase.

    • b. As absences decrease, grades increase.

    • c. As absences increase, grades decrease. (Correct Answer)

8. RANGE and Financial Aid

  • Range Formula: Range = Highest Value - Lowest Value

  • Task 16: Should both Purok receive the same amount of financial aid based on average income? Consider the graph information shown.

9. Participation in Activities

  • Table 2 Summary: Participation in music and sports activities for Grade 7 students.

  • Task 17 - Item 20:

    • Count of students participating in music: $18$.

    • Students not participating in any activities: $19$.

    • Probability for both activities:

    • Formula: $P= rac{ ext{Number participating in both}}{ ext{Total students}}$

10. Coordinates on Cartesian Plane

  • Fig 4 Description: Coordinates with respective points A (-2,4), B (2,0).

  • Tasks:

    • Item 23: Determine coordinates of point C

    • Item 24 - 28: Relationships and distances between points; concept of slopes and areas.

11. Angle Measures in Triangles

  • Properties: Interior angles in a triangle must sum to $180^ ext{o}$.

  • Query (Item 38): Identify angle measures based on integral properties of triangles with sample angles provided.

12. Building a Dog House

  • House Construction Data: Dog house constructed with triangular properties; includes ratios and associated dimensions.

  • Questions: Length of triangular dog house sides, proportionality of dimensions, and base lengths for toy storage.

13. Circular Area Calculations

  • Geometry Queries:

    • Circumference formula, area computations related to a circular pool and surrounding area.

  • Query (Items 44 - 48): Solving for area of sidewalk surrounding a pool, volume queries associated with varied depths.

14. Wheel Rotation Degree Calculation

  • Informational Observation: Calculating rotations in degrees relative to wheel diameter and path length traveled.

  • Final Query (Item 49): Rotational calculations for the wheel over multiple rolls of travel.