year 10 stage 5.1/5.2 sighted test task notification 2021
TRANSCRIPT
![Page 1: YEAR 10 Stage 5.1/5.2 SIGHTED TEST TASK NOTIFICATION 2021](https://reader030.vdocuments.site/reader030/viewer/2022012506/6181569d62733e3c08323e1e/html5/thumbnails/1.jpg)
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 β Multiple choice 10 marks total
Section 2 β Short-Answer questions on focus topics worth 20 marks total
Recommended equipment:
β’ Board approved scientific calculator
β’ 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.
![Page 2: YEAR 10 Stage 5.1/5.2 SIGHTED TEST TASK NOTIFICATION 2021](https://reader030.vdocuments.site/reader030/viewer/2022012506/6181569d62733e3c08323e1e/html5/thumbnails/2.jpg)
Check your assessment booklet for the PHS Assessment Policy 2
ASSESSMENT CRITERIA β STUDENT CHECKLIST: You will be assessed on the topics of:
β’ Algebra β’ Measurement β’ Statistics
You are encouraged to complete the above Chapter Reviews, Review Tests as well as other study activities which should include:
β’ Create your own topic summaries β’ Other textbook / summary book questions β’ Resources on Google classroom β’ Catch up work you may have missed or not completed
Ask for help with problems at the Mathematics Staffroom
![Page 3: YEAR 10 Stage 5.1/5.2 SIGHTED TEST TASK NOTIFICATION 2021](https://reader030.vdocuments.site/reader030/viewer/2022012506/6181569d62733e3c08323e1e/html5/thumbnails/3.jpg)
1
1. Simplify the following using index law. Leave your answer in index form.
76 Γ· 72
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
2. Simplify the following expression.
6π2 + 2π β 2π2 _____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
3. Simplify the following algebraic expressions. a) π2 β π β 3π β 1
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
![Page 4: YEAR 10 Stage 5.1/5.2 SIGHTED TEST TASK NOTIFICATION 2021](https://reader030.vdocuments.site/reader030/viewer/2022012506/6181569d62733e3c08323e1e/html5/thumbnails/4.jpg)
2
b)
5π Γ3π2
10
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
c) 7π Γ 2π Γ 4π
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
d) 2 β 4π2 β 6π2 β 2 _____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
![Page 5: YEAR 10 Stage 5.1/5.2 SIGHTED TEST TASK NOTIFICATION 2021](https://reader030.vdocuments.site/reader030/viewer/2022012506/6181569d62733e3c08323e1e/html5/thumbnails/5.jpg)
3
e) 6π4π2 Γ· (β2π2π2) _____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
f) 10π π‘ Γ· 6π π‘ _____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
g) 6π₯2π¦
3 Γ·
2π¦
5
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
![Page 6: YEAR 10 Stage 5.1/5.2 SIGHTED TEST TASK NOTIFICATION 2021](https://reader030.vdocuments.site/reader030/viewer/2022012506/6181569d62733e3c08323e1e/html5/thumbnails/6.jpg)
4
h) 13π2 + 4ππ β π2
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
i) 4ππ Γ 4ππ
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
4.
Factorise: a) 18ππ + 9ππ
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
![Page 7: YEAR 10 Stage 5.1/5.2 SIGHTED TEST TASK NOTIFICATION 2021](https://reader030.vdocuments.site/reader030/viewer/2022012506/6181569d62733e3c08323e1e/html5/thumbnails/7.jpg)
5
b) π₯2 + 5π₯ _____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
5. Substitute given values of unknowns to solve each of the following expression.
π = β4, π = 2, π = 3
a) 2π + 3π
______________________________
______________________________
______________________________
______________________________
______________________________
b) 2π Γ 3π2 ______________________________
______________________________
______________________________
______________________________
______________________________
c) π
2+ π
______________________________
______________________________
______________________________
______________________________
______________________________
d) 2π + π2
______________________________
______________________________
______________________________
______________________________
______________________________
![Page 8: YEAR 10 Stage 5.1/5.2 SIGHTED TEST TASK NOTIFICATION 2021](https://reader030.vdocuments.site/reader030/viewer/2022012506/6181569d62733e3c08323e1e/html5/thumbnails/8.jpg)
6
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?
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
7. The height of a cylinder is 12π and the diameter is 14π. Calculate the volume of the cylinder. _____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
![Page 9: YEAR 10 Stage 5.1/5.2 SIGHTED TEST TASK NOTIFICATION 2021](https://reader030.vdocuments.site/reader030/viewer/2022012506/6181569d62733e3c08323e1e/html5/thumbnails/9.jpg)
7
8. The diagram below represents a swimming pool. Calculate the volume of water that the swimming pool can contain.
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
9. The length of a swimming pool is π₯ π and the width of the swimming pool is π¦ π. What is the perimeter of the swimming pool? _____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
![Page 10: YEAR 10 Stage 5.1/5.2 SIGHTED TEST TASK NOTIFICATION 2021](https://reader030.vdocuments.site/reader030/viewer/2022012506/6181569d62733e3c08323e1e/html5/thumbnails/10.jpg)
8
10. Find the area of the following circle. Answer correct to 2 decimal places. _____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
11. Find the expression for the area of this rectangle.
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
18cm
5π
7π
![Page 11: YEAR 10 Stage 5.1/5.2 SIGHTED TEST TASK NOTIFICATION 2021](https://reader030.vdocuments.site/reader030/viewer/2022012506/6181569d62733e3c08323e1e/html5/thumbnails/11.jpg)
9
12. Find the volume of this prism.
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
13. Calculate the base length,π, of a triangle with area 90ππ2and perpendicular
height 15ππ, given the area formula π΄ =1
2πβ.
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
![Page 12: YEAR 10 Stage 5.1/5.2 SIGHTED TEST TASK NOTIFICATION 2021](https://reader030.vdocuments.site/reader030/viewer/2022012506/6181569d62733e3c08323e1e/html5/thumbnails/12.jpg)
10
14. Calculate the area of the circle:
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
15. If a parallelogram has a perpendicular height of 7 cm and a base of 11 cm, what is its area? _____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
![Page 13: YEAR 10 Stage 5.1/5.2 SIGHTED TEST TASK NOTIFICATION 2021](https://reader030.vdocuments.site/reader030/viewer/2022012506/6181569d62733e3c08323e1e/html5/thumbnails/13.jpg)
11
16. Find the area of the following shape:
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
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.
![Page 14: YEAR 10 Stage 5.1/5.2 SIGHTED TEST TASK NOTIFICATION 2021](https://reader030.vdocuments.site/reader030/viewer/2022012506/6181569d62733e3c08323e1e/html5/thumbnails/14.jpg)
12
b) What is the range? _____________________________________________________________________
_____________________________________________________________________
c) What is the mode? _____________________________________________________________________
_____________________________________________________________________
d) What is the median? _____________________________________________________________________
_____________________________________________________________________
18. Calculate the mean of the following data:
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
![Page 15: YEAR 10 Stage 5.1/5.2 SIGHTED TEST TASK NOTIFICATION 2021](https://reader030.vdocuments.site/reader030/viewer/2022012506/6181569d62733e3c08323e1e/html5/thumbnails/15.jpg)
13
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:
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
![Page 16: YEAR 10 Stage 5.1/5.2 SIGHTED TEST TASK NOTIFICATION 2021](https://reader030.vdocuments.site/reader030/viewer/2022012506/6181569d62733e3c08323e1e/html5/thumbnails/16.jpg)
14
21. Find the area of the following shape:
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________