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Weekly Test. YR8

The document is a weekly mathematics test for Year 8 students at Kepler Academy, consisting of various problems including expanding and simplifying algebraic expressions, solving equations, and finding values and areas related to circles. It includes tasks such as expanding binomials, simplifying expressions, and solving for variables. The test covers a range of mathematical concepts appropriate for the year level.

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theend1998.qy
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7 views3 pages

Weekly Test. YR8

The document is a weekly mathematics test for Year 8 students at Kepler Academy, consisting of various problems including expanding and simplifying algebraic expressions, solving equations, and finding values and areas related to circles. It includes tasks such as expanding binomials, simplifying expressions, and solving for variables. The test covers a range of mathematical concepts appropriate for the year level.

Uploaded by

theend1998.qy
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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Weekly Test (Mathematic)-YR8

（Kepler Academy）
Name: Mark:

1) Expand and simplify:


a) (3𝑥 − 5)2 b) (2𝑥 − 1)(5𝑥 + 3)

2) Expand and simplify:


a) (3𝑥 − 7)(3𝑥 + 7) b)−3( 𝑥 − 6)(𝑥 + 2)

3) Expand and simplify:


3(𝑥 + 1)2 + 2(𝑥 − 2)2

4) Expand and simplify:

𝑎) 3√3 (5 − 2√3)

b) (4 − 3√2) (2 − 2√2)

5) Find the values of the following:


𝑎) (3√5)2 𝑏) (2√3)2
6) Simplify:
(5𝑎3 )2
𝑎) b) (−3𝑥 2 𝑦 3 )4
3𝑎𝑏

7) Solve the equations:


𝑣+4
a) 9 = 𝑣+12 c) −2(5𝑥 − 3) = 2(−3𝑥 + 5)

−8−3𝑥
b) = 11 d) 6(𝑣 − 1) = 2(1 + 𝑣)
2

8) Find:

a) 𝐹𝑖𝑛𝑑 𝑥
b) 𝐹𝑖𝑛𝑑 𝑎𝑛𝑔𝑙𝑒 𝑄𝑅𝑃

9) Find:

a) 𝐹𝑖𝑛𝑑 𝑥
b) 𝐹𝑖𝑛𝑑 𝑎𝑛𝑔𝑙𝑒 𝐺𝐸𝐻
10) Find the circumference and area of the circle:

a) 𝑐𝑖𝑟𝑐𝑢𝑚𝑓𝑒𝑟𝑒𝑛𝑐𝑒 =
b) 𝐴𝑟𝑒𝑎 =

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