¦1)! What percentage of the circle is shaded? (A) 20%
Transcription
¦1)! What percentage of the circle is shaded? (A) 20%
GPCC0239 C:\MATHS\M_Bank\Tests\Yr8\8 HY Practise.doc 12/05/2014 Year 8 Half Yearly test Homework/Revision Sheet Answer in the space provided. Show all working. ¦1)! What percentage of the circle is shaded? 4 (A) % (B) 20% 5 ¦2)! 9% = ¦3)! 4% of $120 is: (C) 80% (D) 0008% (A) 0·009 (B) 0·09 (C) 0·9 (A) $12 (B) $4·80 (C) $48 (D) 9 (D) $3·33 (A) 80 (D) 67·2 ¦4)! Increase 80 by 40% then decrease the result by 40%. The final answer is: (B) 112 ¦5)! Shade 10% of the figure below. ¦6)! Change 3% to a simple fraction. ¦7)! Complete the missing in the table below: Fraction a b c d Decimal 4 25 0·24 36% 13 25 e f 0·2 ¦8)! Find 5% of 680 L. ¦9)! Find 638% of 15 mL. ¦10)! Increase 150 cents by 16%. ¦11)! Debbie gained 57 marks out of 60 in her Science test. What percentage is this? ¦12)! A 65 g serve of a tuna contains 156 g of protein. What percentage of the tuna is protein? ¦13)! Of the 780 students enrolled at Bradman High School, 55% are boys. How many of the students are boys? ©EDUDATA SOFTWARE PTY LTD:1995-2014 Percentage 60% (C) 48 GPCC0239 C:\MATHS\M_Bank\Tests\Yr8\8 HY Practise.doc 12/05/2014 ¦14)! Marcia is paid 10% commission on any sales she makes. Calculate Marcia's commission if she sells goods to the total value of $7500. ¦15)! Calculate the simple interest on $800 at 10% per year for 2 years. ¦16)! A microwave oven with a marked price of $450 was discounted by 15%. What was the sale price of the microwave oven? ¦17)! Name the hypotenuse of the right-angled triangle below. (A) XY X Z (B) YZ (C) XZ (D) ZY (B) 17 (C) 169 (D) 289 Y ¦18)! Given that c2 = a2 + b2 and a = 5, b = 12, what is the value of c? (A) 13 ¦19)! (A) 17 cm (B) 60 cm (C) 13 cm (D) 169 cm x 5 cm 12 cm In the diagram above, x = ? ¦20)! c a (A) c2 = (a + b)2 (C) c2 = a2 + b2 b For this triangle, which statement is correct? ¦21)! Name the hypotenuse of the right-angled triangle below. A B C ¦22)! Find the value of the pronumeral. x 6 8 ¦23)! Find the value of the pronumeral. Give your answer correct to one decimal place. x 7 9 ©EDUDATA SOFTWARE PTY LTD:1995-2014 (B) b2 = a2 + c2 (D) a2 = b2 + c2 GPCC0239 ¦24)! C:\MATHS\M_Bank\Tests\Yr8\8 HY Practise.doc In the rectangular prism above, AB = 7 cm, BC = 24 cm and AD = 312 cm. i. Calculate the length of AC. D 312 cm A 12/05/2014 ii. Using your answer to (i), calculate the length of DC. C 24 cm 7 cm B ¦25)! Find the value of the pronumeral. 17 x 15 ¦26)! Calculate the breadth b of the rectangle. 41 cm b 40 cm ¦27)! 12x 3 + 6x + 2 = ? (A) (C) (A) (C) (A) ¦28)! 3(x + 2) = ? ¦29)! x x = ? ¦30)! Which answer is NOT equal to a2 ? b2 ¦31)! Simplify 6x + 9y – 3x + 8y. ¦32)! Simplify 5 × 4y. ¦33)! Simplify 5 × 2 × 7a. ¦34)! Simplify 2x × 3xy. ¦35)! Simplify 8m 2. ¦36)! Simplify 9k k. ¦37)! Expand 5(m + 4). ¦38)! Expand 5a(a – 8). ¦39)! Expand then simplify q(3 + q) – q(q – 2). ¦40)! Expand then simplify 3(p + 3) – 2p – 8. ¦41)! Factorise 5m + 30. ©EDUDATA SOFTWARE PTY LTD:1995-2014 6x 5 (B) 18x 5 (D) 3x + 2 (B) 6x (D) 2 x + 2 (B) x aa b b a a (C) b b (A) 6x + 1 18x 1 3x + 6 15x (C) 2x (B) 2a 2b (D) a2 b2 (D) x + x GPCC0239 C:\MATHS\M_Bank\Tests\Yr8\8 HY Practise.doc 12/05/2014 ¦42)! Factorise 8x + 12. ¦43)! 4t t . 9 9 ¦44)! The probability of an event that is impossible is: Simplify (A) 0 ¦45)! A bag contains seven counters numbered as follows: 1 1 2 2 3 3 4 (C) 1 1 (A) 7 One counter is selected at random from the bag. What is the probability that the selected counter is 2? ¦46)! A fair coin is tossed once. The probability of the coin (A) 0 landing heads is: (C) 1 ¦47)! The probability that Amy will win a particular game is 3 . What is the probability that she will not win the 8 game? (A) 1 (C) 5 8 1 2 (D) Between 0 and 1 2 2 (B) (C) 7 5 (B) (D) 1 4 1 2 (D) None of these (B) (B) 8 3 (D) 3 8 ¦48)! Complete the following: "If an event is certain to occur, then the probability of the event is … ". ¦49)! 1 Describe an event that has a probability of occurring equal to . 2 ¦50)! A fair die is rolled once. What is the probability of a number less than 5 resulting? ¦51)! A bag contains 5 red marbles, 4 green marbles and 3 blue marbles. One marble is selected at random. What is the probability that the chosen marble is white? ¦52)! Red Pink Blue Green Yellow ¦53)! What is the complement of a coin landing heads? ¦54)! The probability that Nathan will win a particular game is 1 . What is the probability that he will not win the 3 game? [[End Of Qns]] ©EDUDATA SOFTWARE PTY LTD:1995-2014 The face of this spinner is a regular pentagon. The arrow is spun once. What is the probability that the spinner will land on "Yellow"? GPCC0239 C:\MATHS\M_Bank\Tests\Yr8\8 HY Practise.doc 12/05/2014 [Answers] «1) C » «2) B » «3) B » «4) D » «5) Any 10 small squares » 3 «6) » 100 6 9 «7) a) 0·16, 16% b) , 24% c) , 0·36 25 25 1 3 d) 0·52, 52% e) , 20% f) , 0·6 » 5 5 «8) 34 L » «9) 957 mL » «10) 174 cents » «11) 95% » «12) 24% » «13) 429 » «14) $750 » «15) $160 » «16) $38250 » «17) A » «18) A » «19) C » «20) C » «21) AB » «22) 10 » «23) 114 » «24) i) 25 cm ii) 313 cm » «25) 8 » «26) 9 cm » «27) D » «28) B » «29) B » «30) B » «31) 3x + 17y » «32) 20y » «33) 70a » «34) 6x2y » «35) 4m » «36) 9 » «37) 5m + 20 » «38) 5a2 – 40a » «39) 5q » «40) p + 1 » «41) 5(m + 6) » «42) 4(2x + 3) » 5t «43) » 9 «44) A » ©EDUDATA SOFTWARE PTY LTD:1995-2014 «45) B » «46) B » «47) C » «48) equal to one » «49) Various answers » 2 «50) » 3 «51) 0 » 1 «52) » 5 «53) Landing tails » 2 «54) » 3
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