OCP-MATH10C · Assessment Bank · CONTROLLED PILOT
Math 10C Assessment Bank
Alberta Grade 10 Mathematics course-first tutoring portal aligned to the Biology 30 delivery model.
Assessment / practice bank
6 practice/assessment items per unit (24 total) with accepted concepts, equivalent-wording rules, misconception tags, rationale, difficulty band, and linked KCO IDs.
| Item | Unit | KCO | Type | Difficulty | Stem | Answer key |
|---|---|---|---|---|---|---|
| M10C-A-ASM-01 | M10C-A | M10C-A-KCO-03 | numerical_response | core | Find the volume of a rectangular prism 4 cm x 5 cm x 9 cm. | 180 cm^3 |
| M10C-A-ASM-02 | M10C-A | M10C-A-KCO-03 | numerical_response | core | Find the surface area of a cube with edge 6 cm. | 216 cm^2 |
| M10C-A-ASM-03 | M10C-A | M10C-A-KCO-05 | short_written_response | core | Why can't surface area and volume be compared using the same units? | Surface area uses square units (2-D measure); volume uses cubic units (3-D measure). |
| M10C-A-ASM-04 | M10C-A | M10C-A-KCO-04 | applied_context_question | stretch | A grain silo is a cylinder topped by a cone. List the information needed for total volume and outline the steps. | Need radius, cylinder height, and cone height; V = pi r^2 h_cyl + (1/3) pi r^2 h_cone, then add. |
| M10C-A-ASM-05 | M10C-A | M10C-A-KCO-05 | multiple_choice | core | Which is the most reasonable mass for a school textbook? | 1.2 kg |
| M10C-A-ASM-06 | M10C-A | M10C-A-KCO-02 | numerical_response | core | Convert 5 feet to inches (1 ft = 12 in). | 60 in |
| M10C-B-ASM-01 | M10C-B | M10C-B-KCO-02 | numerical_response | core | A right triangle has opposite 5 and adjacent 12. Find tan t as a fraction. | 5/12 |
| M10C-B-ASM-02 | M10C-B | M10C-B-KCO-03 | numerical_response | core | cos t = 0.5. Find t in degrees. | 60 degrees |
| M10C-B-ASM-03 | M10C-B | M10C-B-KCO-04 | applied_context_question | stretch | A 6 m ladder leans against a wall at 70 degrees to the ground. Which ratio finds the height reached, and set up the equation. | sin 70 = height/6, so height = 6 sin 70. |
| M10C-B-ASM-04 | M10C-B | M10C-B-KCO-04 | short_written_response | core | Explain the difference between angle of elevation and angle of depression. | Angle of elevation is measured upward from the horizontal; angle of depression is measured downward from the horizontal. |
| M10C-B-ASM-05 | M10C-B | M10C-B-KCO-02 | numerical_response | core | Find the side x opposite a 30 degree angle in a right triangle with hypotenuse 10 (x = 10 sin 30). | 5 |
| M10C-B-ASM-06 | M10C-B | M10C-B-KCO-05 | applied_context_question | stretch | An observer 20 m from a tree sees the top at 35 degrees elevation. Set up the equation for tree height h. | tan 35 = h/20, so h = 20 tan 35. |
| M10C-C-ASM-01 | M10C-C | M10C-C-KCO-01 | numerical_response | core | Simplify (2x^2)^3. | 8x^6 |
| M10C-C-ASM-02 | M10C-C | M10C-C-KCO-04 | numerical_response | core | Expand (x + 5)^2. | x^2 + 10x + 25 |
| M10C-C-ASM-03 | M10C-C | M10C-C-KCO-05 | numerical_response | core | Factor x^2 + 7x + 12. | (x + 3)(x + 4) |
| M10C-C-ASM-04 | M10C-C | M10C-C-KCO-05 | numerical_response | core | Factor 6x^2 + 9x completely. | 3x(2x + 3) |
| M10C-C-ASM-05 | M10C-C | M10C-C-KCO-06 | short_written_response | core | How can you check that (x + 3)(x + 4) is a correct factoring of x^2 + 7x + 12? | Expand the product; it should return the original trinomial x^2 + 7x + 12. |
| M10C-C-ASM-06 | M10C-C | M10C-C-KCO-02 | applied_context_question | stretch | Does sqrt(9 + 16) equal sqrt(9) + sqrt(16)? Explain and give the correct value. | No. sqrt(9 + 16) = sqrt(25) = 5, but sqrt(9) + sqrt(16) = 3 + 4 = 7. Radicals do not distribute over addition. |
| M10C-D-ASM-01 | M10C-D | M10C-D-KCO-05 | numerical_response | core | For y = -2x + 7, state the slope. | -2 |
| M10C-D-ASM-02 | M10C-D | M10C-D-KCO-05 | numerical_response | core | For y = -2x + 7, state the y-intercept. | 7 |
| M10C-D-ASM-03 | M10C-D | M10C-D-KCO-06 | short_written_response | core | In a phone plan C = 0.10n + 20, what does 20 represent in context? | The fixed base cost when n = 0 (the starting value). |
| M10C-D-ASM-04 | M10C-D | M10C-D-KCO-06 | short_written_response | core | In C = 0.10n + 20, what does 0.10 represent in context? | The rate of change: the cost added per additional unit n (slope in context). |
| M10C-D-ASM-05 | M10C-D | M10C-D-KCO-03 | applied_context_question | stretch | A table shows (0, 3), (1, 5), (2, 7). Write the linear equation. | y = 2x + 3. |
| M10C-D-ASM-06 | M10C-D | M10C-D-KCO-02 | multiple_choice | core | A relation has points at x = 1, 2, 3. What is the domain? | {1, 2, 3} |