Math Concepts Practice and Application

Test 2 Revision YEAR 8 HIGHER

What is the area? A rectangular floor 5 m x 7m is being tiled with square tiles measuring 20cm. How many tiles will be needed? The tiles come in boxes of 100 priced 25.25 each. How many boxes will be needed? 20 mm Topic 5 2.5 cm 40 mm What is the height? What is the area? What is the area? Topic 5 10 cm 9 cm Area = 24 cm 8 cm 7 cm 6.5 cm 40 mm 12 cm What is the height? What is the area? 3.6 cm What is the circumference? Area 18 cm Topic 5 4.5 cm ? 12 cm 9 cm 8.4 cm

14 cm2 A rectangular floor 5 m x 7mis being tiled with square tiles measuring 20cm. How many tiles will be needed? 875 The tiles come in boxes of 100 priced 25.25 each. How many boxes will be needed? Topic 5 20 mm 2.5 cm 227.25 40 mm What is height? 6 cm What is area? 42cm2 What is area? 52cm2 Topic 5 10 cm 9 cm Area = 24 cm 8 cm 7 cm 6.5 cm 40 mm 12 cm What is height? 4cm What is the area? 27 cm2 Circumference? 37.7cm 3.6 cm Area 18 cm Topic 5 4.5 cm ? 12 cm 9 cm 8.4 cm

Simplify these ratios Complete these equivalent ratios 3 : 7 9 : .. : 210 1 : . White and red roses are in the ratio 4:5 What fraction are red? 6 : 10 25 : 10 9 : 12 32 : 40 12 : 30 : 18 Write these ratios in the form 1:n 4:11 2:7 0.5 : 3 Topic 6 Share 32 in the ratio 3 : 5 Share 2.45 in the ratio 3 : 4 Topic 6 5 bars of chocolate cost 2.40. 70 g soap costs 1.33 40g soap costs 96p 1 = $ 1.20 Paul buys a hat for $8.40. How much is this in ? Topic 6 How much do 9 bars cost? Which soap is best value for money?

Simplify these ratios Complete these equivalent ratios 3 : 7 9 : 21 90 : 210 1 : 7/3 White and red roses are in the ratio 4:5 What fraction are red? ? ? 6 : 10 3:5 25 : 10 5:2 9 : 12 3:4 32 : 40 4:5 12 : 30 : 18 2:5:3 Write these ratios in the form 1:n 4:11 1 :?? 2:7 1:? 0.5 : 3 1 :6 5 bars of chocolate cost 2.40. Topic 6 Share 32 in the ratio 3 : 5 Share 2.45 in the ratio 3:4 ? ? Topic 6 12:20 1.05 : 1.40 1 = $ 1.20 70 g soap costs 1.33 10g 19 p 40g soap costs 96p 10g 24p Which soap is best value for money? 70g is best buy Paul buys a hat for $8.40. How much is this in ? 7 Topic 6 How much do 9 bars cost? 4.32

a) Complete the sequence b) What is the rule? a) Complete the sequence b) What is the rule? a) Complete the sequence b) What is the rule? Topic 7 0.23,0.37,0.51, , -13, -9, -5, , 5, 50, 500, , 1.09, 0.92, 0.75, , -21, -23.5, -26, , 243, 81, 9, , Find the first 4 terms in the sequence using the rule Find the first 4 terms in the sequence using the rule Find the first 4 terms in the sequence using the rule Topic 7 T(n) = 3n - 2 T(n) = 2n + 2.5 T(n) = n2 + 1 Will the number 98 be in the sequence Find the nth term: 1, 9, 17, 25, Find the nth term: -9, -5, -1, 3, Topic 7 Use your rule to find the 20th term in the sequence. T(n) = 3n + 1 Use your rule to find the 20th term in the sequence.

a) Complete the sequence b) What is the rule? a) Complete the sequence b) What is the rule? a) Complete the sequence b) What is the rule? Topic 7 0.23,0.37,0.51, 0.65,0.79 +0.14 -13, -9, -5, -1, 3 5, 50, 500, 5000,50000 X 10 +4 1.09,0.92,0.75, 0.58,0.41 -0.17 Find the first 4 terms in the sequence using the rule -21, -23.5, -26,-28.5,-31 -2.5 Find the first 4 terms in the sequence using the rule 243, 81, 9, 3, 1 3 Find the first 4 terms in the sequence using the rule Topic 7 T(n) = 3n 2 -2, 1, 4, 7 T(n) = 2n + 2.5 2.5, 4.5,6.5,8.5 T(n) = n2 + 1 2,5,10,17 Will the number 98 be in the sequence T(n) = 3n + 1 3n + 1=98 n =?? NO 97,100,103 Find the nth term: 1, 9, 17, 25, 8n - 7 Use your rule to find the 20th term in the sequence. 153 Find the nth term: -9, -5, -1, 3, 4n - 13 Use your rule to find the 20th term in the sequence. 67 Topic 7 ? not whole number

There are 30 students on a trip. 18 are boys. 10 of the girls wear glasses. 15 wear glasses altogether. Draw a frequency tree to show this information. Find P( boy wearing glasses) Two coins are thrown. Complete the tree diagram showing the outcomes. H A die is thrown. What is the probability of: a) getting a 6 b) getting an odd number c) getting a 7 d) getting a prime number e) getting a square number A die is thrown 600 times. a) What is the relative frequency of throwing a 2. b) Is the die fair? Why? Topic 8 Topic 8 Score 1 2 3 4 5 6 frequency 45 110 98 105 36 206 The probabilities of picking a coloured counter from a bag are below. Fill in the missing probability. A normal die is thrown and a coin is tossed. List all the outcomes in a sample space diagram. Topic 8 Colour Red Blue Yellow Green What is the probability of getting a head and an even number? 2 5 Probability 8% 0.29

Two coins are thrown. Complete the tree diagram showing the outcomes. H H T T H T A die is thrown. There are 30 students on a trip. 18 are boys. 10 of the girls wear glasses. 15 wear glasses altogether. Draw a frequency tree to show this information. Find P( boy wearing glasses) What is the probability of: a) getting a 6 ? b) getting odd number? c) getting a 7 0 d) getting a prime ? e) getting a square ? A die is thrown 600 times. a) What is the relative frequency of throwing a 2. ??? b) Is the die fair? Why? No because you would expect 100 of each score , these scores have a wide range. Score frequency 5 Topic 8 18 ? 13 ? 30 10 12 ? 2 ? ??? = ?? ?? Topic 8 1 2 3 4 5 6 45 110 98 105 36 206 The probabilities of picking a coloured counter from a bag are below. Fill in the missing probability. A normal die is thrown and a coin is tossed. List all the outcomes in a sample space diagram. H1 H2 H3 H4 H5 H6 T1 T2 T3 T4 T5 T6 What is the probability of getting a head and an even number? ? Topic 8 Colour Red Blue Yellow Green 2 5 Probability 8% 0.33 0.29 ?