Student Name : MOUNT SAINT JOSEPH MILPERRA MOUNT SAINT JOSEPH I YEAR 8 MATHEMATICS 17th November 2006 70 MINUTES (plus 5 mnutes readng tme)... :... INSTRUCTIONS: > WRITE IN BLUE OR BLACK PEN ONLY > ALL QUESTIONS TO BE ANSWERED ON THIS SHEET IN THE SPACE PROVIDED. > SHOW ALL NECESSARY WORKING > CALCULATORS MAY BE USED SECTION I -- Part A Ratos and Rates Permeter and Area Pythagoras' Theorem Equatons and Inequaltes Data Analyss Workng Mathematcally Non Calculator Total Common /6 /2 /3 /6 /5 /7 /20 /64 Part B /7 /6 /2 /4 /9 /5 /9 /9 /51 TOTAL /115 Yearly Exam 2006 1
RATIOS AND RATES 1. Smplfy the rato 5 : 40 d 2. Crcle the most approprate answer below whch shows the rato of cordal to water n a glass 1:4 1:100 4:1 100:1 3. Complete the equvalent rato below. 2 : 5 15 4. Smplfy the rate $10/5kg 5. A scale drawng of a cat s below. If the scale s 1 : 10 what s the real length of the cat? 3c'm 30 r 1rV, Yearly -Exam 2006
6. Davd rdes at a speed of 20km/h. How many klometres wll he travel n 4 hours? 9-01 PERIMETER AND AREA 1. Fnd the permeter of the fgure below. 2m -0 22 RATIO AND RATES 1. Express as a rato n smplest form: 30 cents : $6? 0t 6 0 I :2 o 20m 4-7m - r7 2. Dvde 320 mnutes n the rato 3 : 5 } 0 ' e 3 40 3. Smplfy the followng : (A)12 : 20: 16 3 1 L? -. V-T (B) 0.05:0.2 "4 riz 4. A 737 jet travels a journey of 2250km n 2h 30 mn. Calculate the speed n km/h.? `` f pr/ clo. 2. Fnd the area of the fgure below. L11117 r 14.7m PERIMETER AND AREA 1. 3 marks Fnd the permeter of the followng shape, correct to the nearest centmetre. L --- ---------- - 10 10 5. It takes 7 men 12 hours to buld a wall. How long wll t take 2 men workng at the same rate? Yearly Exam 2006 kavv-_3 10m Yearly Exam 2006 7m S 5 4
2. Fnd the area of the fgure below correct to 1 decmal place I 1A 3 marks PYTHAGORAS'THEOREM 1. A ladder reaches 4.8 metres up a wall. If the bottom of the ladder s 1.9 metres from the buldng, what s the length of the ladder? Answer correct to 2 decmal places. J PYTHAGORAS' THEOREM 1. Whch formula correctly states Pythagoras' theorem for the trangle below. (A) n2 = m2 + p2 SURFACE AREA AND VOLUME 1. Calculate the surface of the trangular prsm beloww. n M m2 = n2 + p2 (C) p2 = m2 + n2 10m : h 1\ P OD) m2 = n2 _ p2 2. Fnd the length of the hypotenuse n the trangle below. 2 5cm 12cm 2-4 4 xj Z * 4. Yearly Exam 2006 5 Yearly Exam 2006 6
2. Fnd the volume of the rectangular prsm below. PROPERTIES OF GEOMETRICAL FIGURES 1. Crcle the correct name for the angle below. R (A) LABC 8m 5m C-7 3 Z (C) (B) LRTS ' LTSR T (D) LTRS SURFACE AREA AND VOLUME 1. Sunshne frozen ceblocks are sold n the package below (A) Fnd the heght, (x) of the package. 5c % 2. Complete the followng sentences. (A) A trangle wth each angle 60 s called (B) A quadrlateral wth all sdes equal s 3. Use your protractor to measure the angle below. ------------ x 21cm 6cm X"6 9 (B) Fnd the volume of the package. 12,.4 (C) What s the capacty of the sunshne frozen ceblock? (answer n ms). I C^^1 '5 4. Complete the reason for the followng dagram. x = 126 z Reason: _' ; f 12 XO La Yearly Exam 2006 7 Yearly Exam 2006 8
5. Fnd the value of x. Gve reasons. (A) c 5 x= 125 x Reason : 54Y '1\ 1 2. Fnd the value of the pronumeral, gvng reasons. (--A = -7 5 all (B) x = 36 Reason : r b4 r tl 3. Fnd the value of x. Gve reasons 3 marks 3x, -A, a-^ 1,0 3&a 5)t + 160 Cl- Z5 x 4a (C) 4 x 42 Reason:^^r 4 PROPERTIES OF GEOMETRICAL FIGURES 1. Fnd the value of the pronumeral, gvng correct geometrc reasons : 12-7 4. Construct a trangle wth two sdes of length 3cm and 4cm and an ncluded angle of 100. 2 mark 127 On?^t ^^. r V h Yearly Exam 2006 9 Yearly Exam 2006 10
Student Name : EQUATIONS AND INEQUALITIES 1. Whch nequalty s represented on the number lne below? 2. Solve the followng equaton: 3 marks.8(a-2)-3(2a-1)=14-3 -2-1 0 1 3 X (A) x -< 1 (B) x> 1 (C) x < 5 ((:D:) x 1 2. Solve the followng equaton 2 2-7 2h = 4 5 3. Solve and graph the followng nequalty. 3x - 5 > -2 3>3 0 9 x 3 3 marks DATA ANALYSIS 1. Fnd the mean of the scores 43, 56, 83 and 124. q-3 ^ 6 ± 3.4 12 4- ^ 3 EQUATIONS AND INEQUALITIES 76 1. Usng the formula v = u + at, fnd u, when v= 32, a = 2 and t = 6 3 2 2. Fnd the medan of the scores below. 4 9, 9,,9 3, 5 Yearly Exam 2006 11 Yearly Exam 2006 12
3. Fnd the mode for the data dsplayed n the dot plot below. DATA ANALYSIS 1. The frequency table shows the ages of 40 athletes n a club. a) Complete the table. 5 marks -1 0 1 2 3 5 6 4. Use the frequency dstrbuton table below to complete a frequency hstogram and polygon on the grd provded. Score Frequency 1 1 2 3 b) Fnd the mode q AGE 17 Frequency 6 fx 3 3 4 2 5 4 6 4 7 6 8 3 c) Fnd the range 18 19 20 4 15 7 2.9 5 1 9 3 10 1 d) Fnd the mean 22 8 7................................. 5 3 # ^ E car......i... _......... e) Fnd the medan 2 1 f 3 E ^ E ^ 1 2 3 4 5 6 7 Score 8 9 Yearly Exam 2006 13 Yearly Exam 2006 14
2. The dot plot below represents the marks out of 7 on a Maths Quz. WORKING MATHEMATICALLY 1. Lst one shape that has the followng propertes. 2 3 4 5 6 7 a) Fnd the range of the marks. - Opposte sdes are parallel - Opposte sdes are equal - Dagonals bsect each other - The length of the dagonals s not equal ra t I 0 R o q- r AIM ^ 3. Fnd the permeter of the trangle below correct to 1 decmal place. b) Fnd the mean mark. 13m 20m '^. b 3. The stem and leaf plot represents the ages of people playng golf at Sunnysde Golf Course one Wednesday mornng =237 P )3-^ - 3^9 Stem Leaf 4 5 6 7 0012 1 3 All / 66678 4 5 2. Wrte a number n the box so that the range of the set of scores s 6. 2 2 3 4 5 7 7 a) What s the medan age of the people playng golf that day. 3. Make an equaton that has x = 4 as ts soluton. b) What percentage of golfers were under 50 years of age? t:-^ 57 Z Yearly Exam 2006 15 Yearly Exam 2006 16
4. A cake recpe asks for sugar to flour n the rato 1:3. If the recpe requres 600 grams of flour, how much sugar s needed? (0 0 3.0 WORKING MATHEMATICALLY 1. Test whether ths trangle s rght-angled. If so mark the rght angle. 16.8cm 17.5cm 4.9cm X6625= Z 2 y 2 4 a; ^- 6 2-5 2. Ncole solved the equaton 6a + 5 = 9. 6a = 4 lne 1 3. Wrte a number n the box so that the medan of ths data s 10. / F-1 l,/2,f7 8' S 3 }1' 10 3 5-7 9O z 13 ) 7 f:^= ')0 2, 4. Three people share a lotto prze of $6600 n the rato 4:5:6. What s the dfference between the smallest and largest shares?. 3 marks 4454 6 5 ( 60 CP 15 4- A- 0 5x 4 4 9 2-0.0 6h}4 2 64 c: 660 0 5. Emma has completed fve tests n Hstory. Her mean mark s 60. What mark would she need to get n her fnal test f she wants to ncrease her mean mark to 65? 5 x6.0-30_q o. a 6._ 4 lne 2 a = 3 lne 3 2 The frst lne n whch there s a mstake s: (A) lne 1 Q(B) lne 2 (C) lne 3 (D) there s no mstake End of Examnaton Yearly Exam 2006 17 Yearly Exam 2006 18