Y10 Maths 5.2 Assessment Task 1 2024 Past Paper PDF

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Summary

This is a past paper for Year 10 mathematics, Assessment Task 1, from St Luke's Grammar School. The paper covers topics such as algebraic expressions, indices, and measurement, with multiple-choice and short-answer questions.

Full Transcript

**Name:** \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ **Teacher's Name:** \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ **10M5 & 10M6** **MATHEMATICS 5.2** **Assessment Task 1** **March 2024** +-----------------------------------+--------------------...

**Name:** \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ **Teacher's Name:** \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ **10M5 & 10M6** **MATHEMATICS 5.2** **Assessment Task 1** **March 2024** +-----------------------------------+-----------------------------------+ | **General Instructions** | **Topic** | | | **Marks** | | - All students are to complete | ------------------------------- | | both sections | -- ----------- | | | **Algebraic Terms and Indices** | | - Time Allowed: 55 minutes | **/31** | | | **Measurement** | | - Write using black pen | **/26** | | | **Total** | | - NESA approved calculators may | **/57** | | be used | | | | | | - Use a pencil to draw or | | | complete diagrams | | | | | | - Attempt ALL questions in the | | | spaces provided | | | | | | - Show all necessary working | | | | | | - A **reference sheet** is | | | provided | | +===================================+===================================+ | | | +-----------------------------------+-----------------------------------+ **\ ** **Section I - Algebraic Expressions and Indices** **Q1 -- 4 are multiple choice. Circle the correct answer.** +-----------------------------------+-----------------------------------+ | 1. | **Which of the following is | | | equivalent to** | | | [2*x* + 3*x*?]{.math.inline} | +===================================+===================================+ | | A. [ *x*]{.math.inline} | +-----------------------------------+-----------------------------------+ | | \(B) [5*x*]{.math.inline} | +-----------------------------------+-----------------------------------+ | | \(C) [6*x*^2^]{.math.inline} | +-----------------------------------+-----------------------------------+ | | \(D) [ 5*xx*]{.math.inline} | +-----------------------------------+-----------------------------------+ | 2. | **Which of the following is the | | | expanded form of** | | | [2(3+*y*)]{.math.inline}**?** | +-----------------------------------+-----------------------------------+ | | A. [ 6 + 2*y*]{.math.inline} | +-----------------------------------+-----------------------------------+ | | B. [ 8*y*]{.math.inline} | +-----------------------------------+-----------------------------------+ | | C. [ 6 + *y*]{.math.inline} | +-----------------------------------+-----------------------------------+ | | D. [ 6*y*]{.math.inline} | +-----------------------------------+-----------------------------------+ | | | +-----------------------------------+-----------------------------------+ | 3. | Decrease *x* by 3 and add the | | | result to 5. Which of the | | | following is the result? | +-----------------------------------+-----------------------------------+ | | A. [*x* + 2]{.math.inline} | +-----------------------------------+-----------------------------------+ | | \(B) [8 − *x*]{.math.inline} | +-----------------------------------+-----------------------------------+ | | \(C) [5 − 3*x*]{.math.inline} | +-----------------------------------+-----------------------------------+ | | \(D) [3*x* + 5]{.math.inline} | +-----------------------------------+-----------------------------------+ | 4. | Which of the following is written | | | in correct scientific notation? | | | | | | A. [0.76 × 10^5^]{.math.inline} | | | | | | B. 7[.6 × 10^4^]{.math.inline} | | | | | | \(C) 7[6 × 10^3^]{.math.inline} | | | | | | \(D) 7[60 × 10]{.math.inline} | +-----------------------------------+-----------------------------------+ **\ ** **Marks** +-----------------------+-----------------------+-----------------------+ | **All working is to | | | | be shown in the space | | | | provided.** | | | +=======================+=======================+=======================+ | **5.** | Simplify the | **1** | | | following using index | | | | laws. | **1** | | | | | | | a. b. c. = | **2** | | | | | | | d. | **2** | +-----------------------+-----------------------+-----------------------+ | **6.** | Simplify the | **1** | | | following algebraic | | | | expressions. | **2** | | | | | | | a. [6*x* + 7 + 3*x*] | | | | {.math | | | |.inline} | | | | | | | | b. [4*m* − 2*mn* + 1 | | | | 1*m* − 7*mn*]{.math | | | |.inline} | | +-----------------------+-----------------------+-----------------------+ | **7.** | Expand the following | **2** | | | brackets. | | | | | **2** | | | a. b. [ − *y*(*y* − | | | |  3)]{.math | | | |.inline} | | +-----------------------+-----------------------+-----------------------+ | **8.** | Rewrite the following | **1** | | | with positive | | | | indices. | **2** | | | | | | | a. [*x*^ − 2^]{.math | | | |.inline} | | | | | | | | b. | | +-----------------------+-----------------------+-----------------------+ | **9.** | Fully factorise the | **1** | | | following. | | | | | **2** | | | a. [3*x* + 6]{.math | | | |.inline} | | | | | | | | b. [12*x* − 24*xy* ] | | | | {.math | | | |.inline} | | +-----------------------+-----------------------+-----------------------+ | **10.** | Fully simplify the | **3** | | | following. | | +-----------------------+-----------------------+-----------------------+ | **11.** | Simplify the | **2** | | | following algebraic | | | | fractions. | **3** | | | | | | | a. b. | | +-----------------------+-----------------------+-----------------------+ | | | | +-----------------------+-----------------------+-----------------------+ | | | | +-----------------------+-----------------------+-----------------------+ **Section II - Measurement** **Q1 -- 3 are multiple choice. Circle the correct answer.** +-----------------------+-----------------------+-----------------------+ | 1. | An object is measured | | | | to be 6.5 kg. | | | | | | | | What are the lower | | | | and upper limits of | | | | this measurement? | | +=======================+=======================+=======================+ | | \(A) 6.4 kg and 6.6 | | | | kg | | +-----------------------+-----------------------+-----------------------+ | | \(B) 6.45 kg and | | | | 6.55 kg | | +-----------------------+-----------------------+-----------------------+ | | \(C) 6.05 kg and | | | | 6.15 kg | | +-----------------------+-----------------------+-----------------------+ | | \(D) 6.0 kg and 7.0 | | | | kg | | +-----------------------+-----------------------+-----------------------+ | | | | +-----------------------+-----------------------+-----------------------+ | 2. | Find an expression | | | | for the perimeter of | | | | the shape below. | | +-----------------------+-----------------------+-----------------------+ | | ![HY | | | | 19](media/image11.png | | | | ) | | +-----------------------+-----------------------+-----------------------+ | | (A) | | +-----------------------+-----------------------+-----------------------+ | | (B) | | +-----------------------+-----------------------+-----------------------+ | | (C) | | +-----------------------+-----------------------+-----------------------+ | | (D) | | +-----------------------+-----------------------+-----------------------+ | 3. | Which of the | | | | following is equal to | | | | 19 m^2^? | | | | | | | | \(A) 19 L | | | | | | | | \(B) 0.019 km^2^ | | | | | | | | \(C) 19 000000 mm^2^ | | | | | | | | \(D) 190 000 cm | | +-----------------------+-----------------------+-----------------------+ **Marks** +-----------------------+-----------------------+-----------------------+ | **All working is to | | | | be shown in the space | | | | provided.** | | | +=======================+=======================+=======================+ | **4.** | Convert the following | **1** | | | units. | | | | | **1** | | | a. 6 m = | | | | \_\_\_\_\_\_\_\_\ | **1** | | | _\_\_\_\_\_ | | | | mm | | | | | | | | b. 455 000 cm = | | | | \_\_\_\_\_\_\_\_\ | | | | _\_\_\_\_\_ | | | | km | | | | | | | | c. **2.5 ML = | | | | \_\_\_\_\_\_\_\_\ | | | | _\_\_\_\_\_\_\_\_\_ | | | | L** | | | | | | | | **(HINT: 1 ML is | | | | 1000 000 L)** | | +-----------------------+-----------------------+-----------------------+ | **5.** | Find the area of the | **1** | | | following shapes. | | | | | **2** | | | a. Skjf | | | | | | | | ![](media/image17.png | | | | ) | | | | | | | | b. ra | | +-----------------------+-----------------------+-----------------------+ | **6.** | Find the area of the | **2** | | | composite shape | | | | below. | | +-----------------------+-----------------------+-----------------------+ | **7.** | ![](media/image19.png | **2** | | | )Find | | | | the volume of the | | | | following rectangular | | | | prism in | | | | [*cm*^3^]{.math | | | |.inline}. | | +-----------------------+-----------------------+-----------------------+ | **8.** | Find the surface area | **3** | | | of the following | | | | triangular prism. | | +-----------------------+-----------------------+-----------------------+ | **9.** | A cube has a volume | **2** | | | of [64 *m*^3^]{.math | | | |.inline}. Find the | | | | side length of this | | | | cube. | | +-----------------------+-----------------------+-----------------------+ | **10.** | Find the perimeter of | **3** | | | the composite shape | | | | below. | | | | | | | | Give your answer | | | | correct to two | | | | decimal places. | | | | | | | | ![](media/image21.png | | | | ) | | +-----------------------+-----------------------+-----------------------+ | **11.** | Find the volume of | **3** | | | the following shape | | | | in | | | | [**mm**^**3**^**.**]{ | | | |.math | | | |.inline} | | | | | | | | *Give your answer | | | | correct to one | | | | decimal place.* | | +-----------------------+-----------------------+-----------------------+ | **12.** | A steamroller has a | **2** | | | large, heavy | | | | cylindrical barrel | | | | that is 4 m wide and | | | | has a diameter of 2 | | | | m. Find the exact | | | | area of the curved | | | | surface of the | | | | barrel. | | +-----------------------+-----------------------+-----------------------+ **End of Paper** **Reference Sheet for Measurement** **Year 10 Mathematics 5.2** ![](media/image23.png)

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