Year 9 Solving Problems with Pythagoras' Theorem

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A TV screen is 41 cm long and 31 cm high. The length of its diagonal is closest to:

1 point

49 cm

51 cm

54 cm

48 cm

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A flagpole of height 5 metres is tied to the ground by a 7 metre cable. How far from the base of the flagpole is the cable tied?

1 point

8.60 m

1.41 m

4 m

4.90 m

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The value of x in this shape is

1 point

38.4

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Find the value of b

1 point

8.17

3.32

2.6

2.18

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The area of the rectangle below is

1 point

12.1 cm²

84.9 cm²

98 cm²

169.7 cm²

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A road sign is in the form of an equilateral triangle. Each side measures 54 cm. The perpendicular height of the triangle is

1 point

31.4 cm

46.8 cm

55.3 cm

61.2 cm

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What is the value of the pronumeral x correct to the nearest whole number?

1 point

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The height of the horizontal ladder off the ground marked h is

1 point

2 m

1.5 m

1.4 m

1.1 m

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Jack and Jill go bushwalking. They walk 4.5 km south, 2.3 km west then 1.9 km north. The distance they are from the starting point is:

1 point

1.2 km

1.9 km

2.8 km

3.5 km

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The distance BE is:

1 point

11.3

12.4

13.3

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The width of a rectangle is 4 cm, and the diagonal length of the rectangle is 13 cm. Which measurement is closest to the length of this rectangle in cm?

1 point

9 cm

17 cm

12.4 cm

13.6 cm

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The diagram shows a small rectangular field. If Linda runs from A to B to D to C to A, how far does she run?

1 point

120 m

160 m

140 m

150 m

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