GRADE ^ 6
MR: Haytham
General revision
Complete each of the following :
10) 1.5 : 4.5 = ……… : ………
11) IF a car covers 160 km. in 4 hours, then the average speed of the car = ……km/h
12) if the quantities 5, 15 , b , 3 are proportional, then a = …………
13) the result of : 4×8-3×3+9÷3=…………..
14) length in drawing = real length × ………
15) if a is equal to twice b, then a: b = ………..
Choose the correct answer:
1) A map is drawn with a scale 1: 6 000 000 , meaning every 1 cm. on the map = ……..kilometers. ( 6 or 0.6 or 60 or 0.06)
2) if 12 % of a number is 240, then this number = ………… ( 200 , 20 , 2000 , 20 000 )
4) if 35 % of a number = 70, then the number = ………….. ( 100 , 200 , 300 , 400)
5) the drawing scale used the reduction if the ……… ( scale > 1 , scale < 1 , scale = 1)
6) 15 % of 300 = …………. ( 30 , 35 , 40 , 45 )
9) 80 ÷ ( 4 × 5 ) + 12 = ………… ( 16 , 112 , 18)
10) if a : b = 1 : 2 and b : c = 6 : 7 , then a : c = …….. : ……. ( 1:6 , 1:7 , 2:7 ,3:7 )
12) 0.5 day : 12 hours = ………. ( 3:2 , 3:3 , 1:2 , 2:1 )
13) if the price of a TV is L.E. 1600 and the discount is 10 % of its original price, then the price after discount = L.E ……….. ( 1 404 , 1044 , 1760 , 1440 )
1) A bicycle seller found that if he sells a bicycle for L.E 460 , his loss will be 8 % find the cost price of the bicycle and find the selling price that makes him a profit of 15 % ?
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3) A school class has 40 pupils. If the number of girls exceeds 10 % than the number of boys , find the number of girls.
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4) A fruiter bought a quantity of oranges for L.E. 800, he sold part of it for L.E. 680 , the rest went bad. Find the percentage of loss?
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5) if ratio between what Omar has of money to what Zeiad has to what Noura has is 3 : 8 : 4 if Zeiad has 40 pounds, find what each of Omar and Noura has?
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6) A map is drawn for the Suez canal with a scale 1 : 400 000 if the real length of the Canal is 172 Kilometers , calculate its length on the map.
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7) A piece of land in the shape of a square is drawn with a drawing scale 1: 1000 , if the side length of the square on the drawing scale 15 cm. , find the real area of the land in square meters ?
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9) the perimeter of a equilateral triangle is 18 cm . and the ratio between A
c is 3:5:1 find of each one ?
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10) A microscope was used to magnify an insect of real length 0.8 mm . in the ratio 100 :1 , then the length of the insect after magnification
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11) Draw the rectangle ABCD in which AB = 4 cm . BC= 6 cm . Draw the two diagonals AC and BD to intersect at M. from the drawing find:
a) the length of AC b) the area of rectangle ABCD
12) Draw the square ABCD of side length 5 cm. Draw BD, then from the point A, draw a straight line parallel to BD to cut CB at H and then use the protractor to find
to find the measure angle HBD
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13) Draw AB where AB = 4 cm . from A, draw the perpendicular line segment AD where AD = 6 cm . , then draw from D the line segment DC parallel to AB where DC = 4 cm . draw BC, then find by measuring:
a) the length of BC b) the measure of angle BCD
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14) Draw the right- angled triangle XYZ at Y in which XY = 6 cm. YZ = 8 cm. and L is the midpoint of YZ Draw LM // YX to cut XZ at M . and draw MN // ZY to cut XY at N .
find by measuring :
the lengths of LM and MN and the measures of angle NML and angle MLY
state the name of the figure LMNY and calculate its perimeter and its area.
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