Check your assessment booklet for the PHS Assessment Policy 1

YEAR 10 Stage 5.1/5.2

SIGHTED TEST TASK NOTIFICATION

2021

Due Date: Term 2, Week 4B Assessment Name: Sighted Test

Mark: / 30 Weighting: 30 %

TASK DESCRIPTION:

You will complete a ONE period test, covering the Mathematics topics listed below.

Algebraic Techniques & Indices Surface Area & Volume Statistics

The paper will involve multiple choice and short-answer questions on focus topics.

Section 1 – Multiple choice 10 marks total

Section 2 – Short-Answer questions on focus topics worth 20 marks total

Recommended equipment:

• Board approved scientific calculator

• Pens, ruler, pencils, rubber

This task will be completed under examination conditions.

You are encouraged to create a ONE-SIDED A4 sized note that may include useful formulas and notes on

solving questions. Your notes MUST NOT contain any worked examples. You are to hand in this sheet

during your test in Week 4.

SYLLABUS OUTCOMES TO BE ASSESSED:

MA5.2-1WM selects appropriate notations & conventions to communicate mathematical ideas & solutions

MA5.2-2WM interprets mathematical or real-life situations, systematically applying appropriate strategies to solve problems

MA5.2-6NA simplifies algebraic fractions, expands, & factorises quadratic expressions

MA5.1-8MG calculates the areas of composite shapes

MA5.2-12MG applies formulas to calculate the volumes of composite solids composed of right prisms & cylinders

MA5.1-12SP uses statistical displays to compare sets of data.

Check your assessment booklet for the PHS Assessment Policy 2

ASSESSMENT CRITERIA – STUDENT CHECKLIST: You will be assessed on the topics of:

• Algebra • Measurement • Statistics

You are encouraged to complete the above Chapter Reviews, Review Tests as well as other study activities which should include:

• Create your own topic summaries • Other textbook / summary book questions • Resources on Google classroom • Catch up work you may have missed or not completed

Ask for help with problems at the Mathematics Staffroom

1

1. Simplify the following using index law. Leave your answer in index form.

76 ÷ 72

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2. Simplify the following expression.

6𝑎2 + 2𝑏 − 2𝑎2 _____________________________________________________________________

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3. Simplify the following algebraic expressions. a) 𝑘2 − 𝑘 − 3𝑘 − 1

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b)

5𝑒 ×3𝑒2

10

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c) 7𝑚 × 2𝑎 × 4𝑏

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d) 2 − 4𝑚2 − 6𝑚2 − 2 _____________________________________________________________________

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e) 6𝑎4𝑚2 ÷ (−2𝑎2𝑚2) _____________________________________________________________________

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f) 10𝑠𝑡 ÷ 6𝑠𝑡 _____________________________________________________________________

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g) 6𝑥2𝑦

3 ÷

2𝑦

5

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h) 13𝑚2 + 4𝑚𝑛 − 𝑚2

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i) 4𝑎𝑘 × 4𝑎𝑚

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4.

Factorise: a) 18𝑎𝑏 + 9𝑏𝑐

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b) 𝑥2 + 5𝑥 _____________________________________________________________________

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5. Substitute given values of unknowns to solve each of the following expression.

𝑎 = −4, 𝑚 = 2, 𝑝 = 3

a) 2𝑚 + 3𝑝

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b) 2𝑚 × 3𝑝2 ______________________________

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c) 𝑎

2+ 𝑝

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d) 2𝑎 + 𝑝2

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6. The sector shown has a radius of 13 cm and an angle of 230o. What is the perimeter of the sector to the nearest centimetre?

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7. The height of a cylinder is 12𝑚 and the diameter is 14𝑚. Calculate the volume of the cylinder. _____________________________________________________________________

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8. The diagram below represents a swimming pool. Calculate the volume of water that the swimming pool can contain.

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9. The length of a swimming pool is 𝑥 𝑚 and the width of the swimming pool is 𝑦 𝑚. What is the perimeter of the swimming pool? _____________________________________________________________________

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10. Find the area of the following circle. Answer correct to 2 decimal places. _____________________________________________________________________

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11. Find the expression for the area of this rectangle.

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18cm

5𝑏

7𝑐

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12. Find the volume of this prism.

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13. Calculate the base length,𝑏, of a triangle with area 90𝑐𝑚2and perpendicular

height 15𝑐𝑚, given the area formula 𝐴 =1

2𝑏ℎ.

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14. Calculate the area of the circle:

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15. If a parallelogram has a perpendicular height of 7 cm and a base of 11 cm, what is its area? _____________________________________________________________________

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16. Find the area of the following shape:

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17. Consider the following data set:

8, 19, 4, 12, 16, 16, 15, 19, 20, 22, 24, 26, 24, 28, 28, 29, 32, 30, 28, 34, 37, 40 a) Draw an ordered stem-and-leaf plot.

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b) What is the range? _____________________________________________________________________

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c) What is the mode? _____________________________________________________________________

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d) What is the median? _____________________________________________________________________

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18. Calculate the mean of the following data:

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19. Draw a back-to-back Stem-and-leaf plot for the two data sets. Set A:25, 26, 24, 24, 28, 26, 27, 25, 26, 28 Set B: 22, 26, 21, 24, 29, 19, 25, 27, 31, 22

20. Find the volume of the cylinder below:

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21. Find the area of the following shape:

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