MATHEMATICS 0580 [ CORE ] SELF PRACTICE KIT 1 Name: ………………………………………………..……………. 1 Write down the value of the 7 in the number 570 296. ................................................. [1] 2 ޕްލޭސް ވެލިއ The table shows the temperature, in °C, at midday on the first day of each month during one year in a city. Calculate the mean of these temperatures. !ްމީން އަކީ އެވަރެޖ 𝑡𝑜𝑡𝑎𝑙 Mean = 𝑛𝑢𝑚𝑏𝑒𝑟 .............................................°C [2] 3 Write these numbers in order, starting with the smallest. 13 5 5.6% 0.065 201 89 !ޭއާއި ގނަކރ1000 .................... < .................... < .................... < .................... [2] smallest 4 On each shape draw all the lines of symmetry. ިއަންނަ ޖަވާބަށް ބަލައ !ޭތަރތީބކރ [3] ީލައިން އޮފް ސިމެޓްރީ އަކ !ފައްޖެހޭވަރ !ާފައްޖެހޭ ލައިންތައް ކރަހ 5 Write down the order of rotational symmetry of this shape. !އެނބރޭވަރ 2 ަދެކޮޅ އެއްގޮތްނަމ 3 ަ ޮކޅ އެއްގޮތް ނަމ3 ................................................. [1] 6 Diego changes 200 euros into Argentine Peso. The exchange rate is 1 euro = 24.8 pesos. Work out how many pesos he receives. ެމިގޮތަށްވެސް ބެލިދާނ ރަނަގަޅ،ރޭޓް ލިޔމަށް ފަހ ްދިމާލގައި އަދަދ ޖަހާ ކްރޮސ !ޭމަލްޓިޕްލައި ކރ .......................................pesos [1] 7 Find the highest odd number that is a factor of 60 and a factor of 90. 60 ިފެކްޓަރ ޓްރީގެ އެހީގައ !ާ ގެ ފެކްޓަރތައް ހޯދ90 ިއަދ ދޭތި ގެއްލި ހސްވާ އެންމެ ބޮޑ !ާއޮޑ ނަމްބަރިކީ ކޮބައިތޯ ބަލ ................................................. [1] 8 (a) Write ⃗⃗⃗⃗⃗ 𝑃𝑄 as a column vector. ( ) [1] ( ) [1] ⃗⃗⃗⃗⃗ as a single vector. (b) Write 3𝑃𝑄 𝑙𝑒𝑓𝑡 & 𝑅𝑖𝑔ℎ𝑡 ( ) 𝑈𝑝 & 𝐷𝑜𝑤𝑛 & ްމަތީގައި ލިޔާނީ ލެފްޓ .ްރައިޓް މޫވްމެންޓ ްތީރީގައި ލިޔާނީ އަޕް & ޑައނ ްމޫވްމެންޓ 9 Work out the size of one interior angle of a regular 9-sided polygon. ................................................. [2] 10 A cone has radius 4.5 cm and height 10.4 cm. Calculate, in terms of r, the volume of the cone. 1 [The volume, V, of a cone with radius rand height h is 𝑉 = 3 𝜋𝑟 2 ℎ ] !ާފރަތަމަ ބޭރ އޭންގަލް ހޯދ 360 𝑛𝑜. 𝑠𝑖𝑑𝑒𝑠 !ާ އިން ކަނޑ180 އެއަށްފަހ ސަބްސްޓިޓިއޓް ކޮށްލމަށް ފަހ !ާޖަވާބ ހޯދ .......................................... cm3[2] 11 The nth term of a sequence is 60𝑛 − 80 Find the 12th term in this sequence. 12 ިގެ ބަދަލގައn ................................................. [1] !ާސަބްސްޓިޓިއޓްކޮށް ޖަވާބ ހޯދ 12 Here are the first five terms of a different sequence. 12 19 26 33 40 Find an expression for the nth term of this sequence. ................................................. [2] 13 Factorise completely. 21𝑎2 + 28𝑎𝑏 ................................................. [2] 14 Simplify. 4𝑝5 𝑞3 × 3𝑝2 𝑞 2 އަދަދ ގނަކރމަށް ފަހ ޕަވަރ ................................................. [2] !ީއެއްކރާނ ................................................. [1] !ާށް އޮބާލ0 ި ޯމޑް އަދSCI 15 Write the number 0.0605 in standard form. 16 Expand and simplify. 5(2𝑥 − 3) !ޭބރެކެޓް ރިމޫވް ކރ ................................................. [2] 17 The length, l cm, of a sheet of paper is 290 mm, correct to the nearest 10 millimetre. Complete this statement about the value of l. .............................. ≤ l < .............................. [2] 18 Without using a calculator, work out 1 23 − ްލައިކް ޓާމެއް ވާނަމަ އެއްކޮށ !ާނޫނީ ކަނޑ ނިއަރެސްޓްކޮށްފައި އިންނަ އަދަދ !ާން ގެއްލ2 ިއެ އަދަދ އެއްކޅން ކަނޑާ އަދ !ޭއަނެއްކޮޅަށް އެއްކރ 7 . 8 You must show all your working and give your answer as a fraction in its simplest form. ................................................. [3] 19 Lucia invests $5000 at a rate of 4.5% per year compound interest. Calculate the value of her investment at the end of 7 years. 𝑇𝑜𝑡𝑎𝑙 = 𝑃 (1 − 𝑅 𝑇 ) 100 $ .................................................. [2] 20 Write in figures the number fifty‑three thousand and thirty‑five. ................................................. [1] 21 Write 8379 correct to the nearest hundred. ................................................. [1] ްތް ޕްލޭސްގައި އިނީ ކޮނ100 !ާއަދަދެއްތޯ ބަލ 22 Write down the mathematical name for this type of angle. ................................................. [1] 23 Write down the reciprocal of 10. 3 ................................................. [1] 24 (a) Find the value of √196. (b) Calculate 153 . ................................................. [1] ÷ 8 + 4 × 2 = 12 2 ީގެ ރެސިޕްރޯކަލް އަކ 2 3 ް ތިރި މައްޗަށ، ްމަތި ތިރިއަށ !ާކަލްކިއލޭޓަރގައި ޖަހ ................................................. [1] 25 Put one pair of brackets in each statement to make it correct. (a) 16 ÷ 8 + 4 × 2 = 1 (b) 16 Acute angle ަށް ވރެ ކޑ90 Obtuse Angle ޭޑިގްރީއާއި ދޭތެރ90-180 Reflex Angle ޫށް ވރެ ބޮޑ180 [1] [2] ްކަލްކިއލޭޓަރ ބޭނންކޮށްގެނ !ޭބްރެކެޓްލައިގެން ޗެކކރ 26 Calculate the area of the trapezium. 𝐴= (𝑎 + 𝑏)ℎ 2 ......................................... cm2[2] 27 On the Venn diagram, shade the region 𝐴 ⋃ 𝐵 . ާ⋃ ހރިހ ާ⋂ ރިޕީޓވ [1] 28 𝜀 = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} P = {2, 3, 5, 7} Q = {2, 5, 8, 10} ި ސެޓްގައި ރިޕީޓވާ އެއްޗެހ2 ަފރަތަމ !ާމެދގައި ޖަހ ިސެޓތަކގައި ބާކީ ހރި އެއްޗެހ !ާއެސެޓެއްގައި ޖަހ ިއިތރަށް ބާކީ ހރި އެއްޗެހި ބޭރގައ Complete the Venn diagram. !ާޖަހ [2] 29 Write 2−4 as a decimal. ................................................. [1] 3 !ާކަލްކިއލޭޓަރގައި ޖަހ 11 30 Without using a calculator, work out 1 + . You must show all your working and 4 12 give your answer as a fraction in its simplest form. ................................................. [3] 31 Roberto buys a toy for $5.00 . He then sells it for $4.60 . Calculate his percentage loss. ފރަތަމަ ލޮސް ވީ ވަރ !ާކަނޑައިގެން ހޯދ .............................................% [2] 32 Simplify 8𝑡 8 ÷ 4𝑡 4 ................................................. [2] 33 Write 2.06 × 10−2 as an ordinary number. % Loss = 𝐿𝑜𝑠𝑠 𝑂𝑟𝑖𝑔𝑖𝑛𝑎𝑙 × 100 އަދަދ ގެއްލމަށް ފަހ !ާޕަވަރ ކަނޑ ް އަށnorm ްކަލްކިއލޭޓަރގެ މޯޑ ................................................. [1] !ާށް ލ2 ްބަދަލކޮށ !ާއިންގޮތަށް ކަލްކިއލޭޓަރގައި ޖަހ 34 Write down all the factors of 28. ..................................................................... [2] !ޭފެކްޓަރ ޓްރީ ބޭނންކރ 35 Write 54 as a product of its prime factors. ................................................. [2] 36 Find the lowest common multiple (LCM) of 48 and 60. ................................................. [2] 37 Write six hundred and seven thousand and twenty-one in figures. ................................................. [1] 38 Work out the correct answer to 68+18 . 9−5 607000 + 21 = މަތި އަދި ތިރި ބްރެކެޓަކަށް ލމަށް ފަހ ................................................. [1] 39 A train from Woodton to Northley takes 6 hours 25 minutes. The train leaves Woodton at 12 46. Work out the time the train arrives at Northley. !ާކަލްކިއލޭޓަރ ގައި ޖަހ Start = Finish – Duration Finish = Start + Duration Duration = Finish – Start ................................................. [1] 40 Write down the number that is 7 more than −38. .ްގެ މާނައަކީ އިތރވނMore ................................................. [1] 41 Simplify. .ީ އެއްކރަން ޖެހޭނ7 ައެހެންވީމ 5𝑤 + 3ℎ − 7𝑤 + 8ℎ ލައިކް ޓާރމްސް ކައިރިކރމަށް ފަހ ާއެއްކޮށް ކަނޑ ................................................. [2] 42 32 33 34 35 From this list of numbers, write down (a) a multiple of 8, (b) a square number, (c) a prime number. 36 37 38 39 ................................................. [1] ްގެ ގނައެއ8 ................................................. [1] ަ√ ނެގމން ފރިހަމަ ޖަވާބ އަންނ ................................................. [1] ން ފިޔަވާ އިތރ1 ިއެއަދަދަކާއ ޭއަދަދަކން ނގެއްލ 43 On a map, the distance between two towns is 9.6 cm. The scale of the map is 1 : 50 000. Work out the actual distance between the two towns in kilometres. ...........................................km [2] 44 A bag contains yellow balls, pink balls and green balls only. The ratio yellow balls : pink balls : green balls =7 : 3 : 5. There are 42 yellow balls in the bag. Work out the total number of balls in the bag. ްރޭ ޝިއޯ ލިޔމަށް ފަހ ޓޯޓަލ ލިބިފައިވާ އަދަދ ރަނގަޅ،ާޖަހ ޭ ހޯދަން ޖެހ،ާދިމާލގައި ޖަހ ް ޖަހާ އަދި ކްރޮސx ިބައިގައ !ޭމަލްޓިޕްލައި ކރ ................................................. [2] 45 On any day, the probability that Marcus will get a seat on the school bus is 0.93 . Write down the probability that he will not get a seat on the school bus today. ................................................. [1] 46 Simplify. (a) 𝑝2 × 𝑝4 (b) 𝑚15 × 𝑚5 (c) ިޕްރޮބަބިލިޓީގެ އެއްބައިލިބ ްނ1 ީއަނެއްބައި ހޯދާނަމަ ޖެހޭނ !ްކަނޑަނ ................................................. [1] !ޭގނަކރާނަމަ ޕަވަރ އެއްކރ ................................................. [1] !ާގެއްލާނަމަ ޕަވަރ ކަނޑ ................................................. [1] ބްރެކެޓް ބޭރގައި ނަމަ ޕަވަރ (𝑘 3 )5 !ޭގނަކރ 1 3 4 2 2 . 3 47 Without using a calculator, work out + You must show all your working and give your answer as a fraction in its simplest form. ................................................. [3] 48 A solid cylinder has radius 3 cm and height 4.5 cm. Calculate the total surface area of the cylinder. Total Surface Area of Cylinder = Curved Surface area + Circle + Circle = 2𝜋𝑟ℎ + 𝜋𝑟 2 + 𝜋𝑟 2 !ާމި ފޯރމިއލާ ބޭނންކޮށްގެން ހޯދ .......................................... cm2[4] 49 Write 3.25 pm in the 24-hour clock. ................................................. [1] 50 The temperature on Tuesday was -7 °C. The temperature on Wednesday was 8 °C higher than on Tuesday. Find the temperature on Wednesday. ............................................°C [2] !ާ އެއްކޮށްލ12 higher !ްވީމަ ޖެހޭނީ އެއްކރަނ 51 Work out the value of x. Give a geometrical reason for your answer. 3600 ަޮޕއިނަޓެއް ގައި އިންނާނީ ޖމލ ްނ360 ްނފެނިވާ އޭންގަލް ހޯދމަށ !ާދެންހރި އޭންގަލްތައް ކަނޑ x =.................... because ................................................................................................................... [2] 52 The diagram shows a fair 8-sided spinner. The numbers on the spinner are 3, 4, 4, 7, 7, 7, 8 and 9. The spinner is spun once. Write down the probability that the spinner lands on (a) the number 7, !ާޗާންސް އިންވަރ ބަލ ................................................. [1] (b) a number greater than 2. Probability = 𝐶ℎ𝑎𝑛𝑐𝑒 𝑇𝑜𝑡𝑎𝑙 𝐶ℎ𝑎𝑛𝑐𝑒 ................................................. [1] 53 Complete the table of values for 𝑦 = 2𝑥 − 3. ަ ށް އަންނy ް ސަބްސްޓިޓިއޓް ކޮށx !ާވެލިއ ހޯދ 54 Point A has coordinates (6, 4) and point B has coordinates (2, 7). ⃗⃗⃗⃗⃗ as a column vector. Write 𝐴𝐵 ⃗⃗⃗⃗⃗ = 𝐵 − 𝐴 𝐴𝐵 𝑥 𝑥 ⃗⃗⃗⃗⃗ 𝐴𝐵 = ( ) − ( ) 𝑦 ⃗⃗⃗⃗⃗ = ( 𝐴𝐵 ) [1] 55 The number of people swimming in a pool is recorded each day for 6 days. 24 28 13 38 15 26 Find the median number of swimmers. 𝑦 ި އަދި ތިރި ތިރިއާއ،ިމަތި މައްޗާއ !ާކަނޑ !ާތަރތީބން ރާވ ްދެކޮޅން ކަނޑަމން އައިސް މެދަށ !ާއަންނަނީ ކޮން އަދަދެއްތޯ ބަލ ދެއަދަދ އަންނަނަމަ އެ ދެއަދަދ ................................................. [1] 15 4 56 Without using a calculator,work out ÷ . You must show all your working and 28 7 give your answer as a fraction in its simplest form. ................................................. [3] !ާން ގެއްލ2 އެއްކރމަށް ފަހ 57 The diagram shows a right-angled triangle. Calculate the area. 𝐴= 𝑏ℎ 2 .......................................... cm2[2] 58 Riya invests $30 000 at a rate of 2.5% per year simple interest. Calculate the value of her investment at the end of 7 years. 𝑆𝐼 = 𝑃𝑁𝑅 100 ީފޯމިއލާއިން ލިބޭނ .ިއިތރވާ ބައި އެކަނ !ެޖމލަ ހޯދމަށް އެއްކރަންވާނ $ ................................................. [3] 59 The diagram shows a right-angled triangle ABC. Calculate AB. SOH CAH TOA ަފރަތަމަވެސް ހޯދަން ޖެހޭ ސައިޑްގ !ާޖަހx 𝜃= އެއަށް ފަހ 𝑂 = 𝐻 = !ާބަލ 𝐴 = ެއެކ ލިބިފައިވާ އަނެއް ސައިޑްގx AB = .............................................m [2] ީބޭނން ކޮށް އެއ SOH CAH TOA !ާގެ ކޮން އެއްޗެއްތޯ ބަލ 60 Factorise completely. 3𝑥 2 − 12𝑥𝑦 ................................................. [2] 61 Write 3.72194 correct to 3 decimal places. ................................................. [1] 62 The average temperature at the North Pole is –23 °C in January and –11 °C in March. Find the difference between these temperatures. FIX Mode ،ްޑިފަރެންސް ހޯދަނ !ާބޮޑ އަދަދން ކޑަ އަދަދ ކަނޑ ............................................°C [1] 63 Solve the equation 12𝑥 − 7 = 23 x = ................................................. [2] Difference = B – S 64 20 students from College A each run 5 km. The times, correct to the nearest minute, are recorded. 32 51 25 40 47 21 37 32 48 36 46 39 30 29 44 39 53 35 40 31 Complete the stem-and-leaf diagram. ިއަބަދވެސް ދެވަނަ އަދަދ އެތެރޭގައ !ާޖަހ [2] Key: 3 | 4 represents 34 minutes 65 Simplify 5𝑐 − 3𝑑 − 𝑐 + 2𝑑 ލައިކް ޓާރމްސް ކައިރިކރމަށް ފަހ ާއެއްކޮށް ކަނޑ ................................................. [2] 65 Use set notation to describe the shaded region in each Venn diagram. ާ⋃ ހރިހ ާ⋂ ރިޕީޓވ !ޯތ ................................................. 66 Dina has a set of 12 cards. These are the numbers on the cards. 3 4 1 3 2 1 3 4 2 Work out (a) mode ................................................. [1] (c) the median, ................................................. [2] ................................................. 2 1 𝐴 ⋂ 𝐵 ަތޯ ނވަތ 𝐴⋃𝐵 [2] Mode = ަގިނ 3 Range = B – S ްބޮޑއެތިން ކޑައެތި ކެނޑނ (b) range ................................................. [1] (d) the mean ................................................. [2] 67 At the airport, Jeremy buys a ring for $53 and a watch for $65. Work out how much change he receives from $120. $ ................................................. [2] 68 The plane ticket costs $680 plus a tax of 16%. Find the total cost of this ticket. Median = ެމދ Mean = 𝑇𝑜𝑡𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟 ިދެވނ ފައިސާގެ އަދަދން ގަތް އެއްޗެހ !ާކަނޑ !ާށް ވާވަރ ހޯދ% ސވާލ އިތރަށް ކިޔމަށް ފަހ ަ ކަނޑަން ޖެހޭތޯ ނވަތ،ޯއެއްކރަންޖެހޭތ $ ................................................. [2] 69 𝑇 = 3𝑎2 𝑏 Find the value of T when a =4 and b =5. !ާބައިންދަންވީތޯ ބަލ ް) (ބޭނންކޮށްގެނ T = ................................................. [2] 70 The diagram shows a right-angled triangular prism. Work out the volume of the prism. !ާސަބްސްޓިޓިއޓްކޮށް ޖަވާބ ހޯދ V = Cross-Section Area × l ެކްރޮސް ސެކް ޝަންގައި އިން ޝޭޕްގ !ޭއޭރިއާ ހޯދައި ލެންގްތް އާއި ގނަކރ .......................................... cm3 [3] ށލަމ ސ ޮކ ް ނ ަދ ް ހިތު ް Self Check Checked By Teacher Equilateral Triangle ް ސައިޑް އެއްވަރ ތިނެސްކަނ3 Isosceles Triangle ް ސައިޑް އެއްވަރ ތިނެސްކަނ2 Scalene Triangle ް ސައިޑް އެއްވަރނޫން ތިނެސްކަނ3 Quadrilaterals )ް ސައިޑް ހންނަ ޝޭޕްތައ4( ްހަތަރެސް ކަނ Pentagon ސައިޑ5 Hexagon ސައިޑ6 Heptagon ސައިޑ7 Octagon ސައިޑ8 Nonagon ސައިޑ9 Decagon ސައިޑ10 Angle between tangent and radius is 90 X Angle → Opposite Angle Z Angle → Alternate Angle F Angle → Corresponding Angle Compound Interest = 𝑃 (1 + 100) Similar އެއްވައްތަރ Congruent ހރިހާ ގޮތަކންވެސް އެއްވަރ Line of Symmetry ފައްޖެހޭވަރ Order of Rotational Symmetry އެނބރޭވަރ Even Numbers ން ގެއްލި ހސްވާ އަދަދ2 Odd Numbers ން ގެއްލި ހސްނވާ އަދަދ2 Length Conversion Mass Conversion Time Conversion ްށް ވރެ ކޑަ އޭންގަލ900 Acute Angle 0 ްއާއި ދެމެދގެ އޭންގަލ180 ިއާއ90 Obtuse Angle Reflex Angle 0 ްށް ވރެ ބޮޑ އޭންގަލ1800 Right Angle ް އޭނގަލ90 0 Angle on a line is 180o Angle at a point is 360 o Angle in a semi-circle is 90 o o Simple Interest = 𝑃𝑇𝑅 100 𝑅 𝑇 Checked Date Area of Square = 𝑙 2 Area of Rectangle = 𝑙 × 𝑏 Area of Sector = 360 × 𝜋𝑟 2 Arc Length of a circle = 360 × 2𝜋𝑟 𝜃 Volume of Cube = 𝑙 3 Volume of Cuboids = 𝑙 × 𝑏 × ℎ Volume of Prisms = Cross-sectional Area × Length Volume of Cylinder = 𝜋𝑟 ℎ Curved Surface Area of Cylinder = 2𝜋𝑟ℎ Total Surface Area of Cylinder = Curved Surface Area + Circle + Circle Pythagoras Theorem 𝑎2 + 𝑏 2 = 𝑐 2 always c is the Hypotenuse Area of Triangle = 𝑏ℎ 2 Area of Trapezium = (𝑎+𝑏)ℎ 2 Area of Circle = 𝜋𝑟 2 𝜃 2 𝑆𝑖𝑛 𝜃 = 𝑂 𝐻 𝐶𝑜𝑠 𝜃 = 𝐴 𝐻 𝑇𝑎𝑛 𝜃 = 𝑂 𝐴 Difference = Largest Value – Smallest Value ާބޮޑ އަދަދން ކޑަ އަދަދ ކަނޑ Range = Largest Value – Smallest Value ާބޮޑ އަދަދން ކޑަ އަދަދ ކަނޑ Mode = Most repeated ައެންމެ ގިނ Median މެދ ާ⋃ ހރިހ ާ⋂ ރިޕީޓވ Mean = n 𝑡𝑜𝑡𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟 ސެޓގައި ހިމެނޭ އެއްޗެހީގެ އަދަދ MILANDHOO SCHOOL Enter to Learn – Leave to Serve