1) Find the capacity of a container that is a rectangular prism 40cm long, 15m wide and 12cm high.
2) A cylindrical tank has a radius of 2m and height 5m. What is the volume of the tank to 2dp? 3) For the scores: 4, 7, 7, 8, 10, 11, 12, 17 What is the median? 4) Which one of these is a measure of spread? (A) Median (B) Mode (C) Range (D) Mean 5) For the stem- and-leaf plot below, find the range: 3 | 0 4 8 4 | 1 6 7 9 9 5 | 2 4 6 6 | 0 3 (A) 63 (B) 9 (C) 30 (D) 33 6) Which of the following is the correct expression for the circumference of a circle with a diameter of 10cm? (A) 2 x π x 10 (B) 2 x π x 5 (C) π x 10 x 10 (D) π x 5 x 5
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1) Simplify the following:
a) 10a ÷ 2a x 3a
b) 6b x 2 ÷ 4b c) 28tw ÷ 7w x 2t d) 24pq ÷ 6p ÷2q e) 6a x 3b ⁄9ab f) -18x2 ÷ -9x g) 4px5q ⁄10p h) -2m x 6n ⁄ 3n x 4m Graph the following:
1) y=2x-3 2) x-y=3 3) y=-1-x 4) x-y=2 5) x=3 6) y=4 7) y=2x-1 8) 2y=4x-2 9)y=3x+3 10) y=x-1 11) y=2 12) x+y=1 13) y=3x 14) y=3x+2
1) Simplify the following:
a) 6 x 2 + 4 x 3 b) 14 - 7 x 2 c) 5 + 20 ÷ (5-1) d) (4 + 3 + 2) x 3 e)1232 x 0 2) Change each decimal to a fraction or mixed numeral in simplest form: a) 0.8 b) 1.29 c) 0.004 d) 3.4 e) 0.93 f) 0.012 g) 1.4 3) Change each fraction to a decimal:
a) 7⁄10
b) 12⁄100 c) 2 1⁄2 d) 2 98⁄100 d)4⁄5 e) 37⁄200 f) 3⁄8 g) 7⁄11 1) Fred walks at 5km/h. How long does it take him to walk to Bobby's house if Bobby lives 38km away?
2) Bobby cycles the 38km to Fred's house in 3.5 hours. How fast was he riding? 3) Bobby and Fred are hoons and in their $2000 car that they bought on Ebay, they drove 145km/h for 5 minutes down the highway. How far did they drive? 4) Bobby walks for 4 hours to get to a certain distance. If he walked the same distance at 6km/hour, it would have taken him 3 hours. How far did he walk? 5) Freddie and his dog Steve are going for a walk when Steve gets off his leash and runs 8km down the road with Freddie chasing him. If Steve ran at a speed of 4.4km/h, how long did it take him to run the whole 8km? 6) Bobby chucks his handball at Freddie's face at 25m/s and breaks his nose. If the ball hit Freddie in 0.75 seconds, how far away was Bobby standing when he threw it?
1) Simplify the following:
a) 7⁄6
b) 2⁄7 c) 50⁄7 d) 3⁄3 e) 3⁄4 f) 5⁄55 g) 9⁄4 h) 11⁄8 i) 121⁄5
2) Mark the following pairs of fractions on a number line:
a) 3⁄7 and 6⁄7
b) 2⁄3 and 5⁄3 c) 1⁄6 and 5⁄6 d) 2⁄4 and 11⁄4 e) 11⁄5 and -8⁄5 f) -5⁄4 , -9⁄4 and -3⁄2
3) Represent the fractions below by using a rectangle divided into equal regions:
a) 1⁄4
b) 3⁄8 c) 2⁄6 |
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