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High School: 9th and 10th Grade
Math
Shapes - Pythagoras 1
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Q.1
A rectangle has length 2.4 m and width 0.7 m. How long is its diagonal?
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2.0 m
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2.5 m
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3.0 m
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3.5 m
Q.2
The cross-section of a porch roof is an isosceles triangle with height 0.8 m and base 3.0 m. How long is each sloping roof section?
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3.1 m
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2.3 m
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1.9 m
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1.7 m
Q.3
The following sets of numbers represent the lengths of the sides of a triangle. Which is not a right triangle?
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15, 20, 25
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18, 24, 30
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16, 30, 36
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15, 36, 39
Q.4
A right-angled isosceles triangle has hypotenuse of length 15 cm. What are the angles at either end of the hypotenuse?
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15° and 75°
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30° and 60°
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45° and 45°
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20° and 70°
Q.5
If the longest side of a right triangle is c cm and the other sides are a cm and b cm, Pythagoras' Theorem states that .......
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a2 x b2 = c2
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(a + b)2 = c2
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a2 + b2 = c2
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a2 - b2 = c2
Q.6
In a triangle, base 25 cm and height 12 cm, the perpendicular from the base to the opposite vertex divides the base in the ratio 3:How long are the other two sides (to 1dp)?
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15.6 cm and 19.2 cm
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16.3 cm and 18.9 cm
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15.6 cm and 16.3 cm
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18.9 cm and 19.2 cm
Q.7
A triangle has sides of length 4 cm, 5 cm and 6 cm. Which of these statements is not true?
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The three angles add up to 180°
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All three angles are acute
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The triangle is scalene
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The largest angle is 90°
Q.8
The foot of a ladder of length 3.75 m is 1.4 m away from a vertical wall. How high up the wall will the ladder reach (to the nearest 1 cm)?
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3.84 m
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3.48 m
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3.24 m
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3.18 m
Q.9
The hypotenuse of a right triangle is 26 cm. One of the shorter sides is 10 cm. How long is the third side?
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30 cm
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24 cm
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16 cm
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8 cm
Q.10
In a right triangle the sides forming the 90° angle are 6 cm and 8 cm. What is the length of the third side?
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10 cm
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12 cm
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14 cm
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16 cm
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