A metal cube of side length 10 cm is melted down and recast as a sphere. Calculate the percentage change in the surface area
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1 CARD 1 A metal cube of side length 10 cm is melted down and recast as a sphere. Calculate the percentage change in the surface area CARD 2 The two shapes have the same perimeter Calculate the difference in the area CARD 3 A ship leaves Port A and sails 30km on a bearing of 255⁰. It then sails a further 30 km on a bearing of 040⁰. The ship then turns and sails directly back to port. If the average speed for the whole journey is 40 km/h how long did the whole journey take? CARD 4 The circle shown has a radius of 8 cm. The line AB crosses the x axis at (6,0). Calculate the length of the line AB
2 CARD 5 For all values of f(x) = x 2 4 and g(x) = x 9 Solve fg(x) = gf(x) CARD 6 Solve cos x = -0.6 for 0⁰ x 360⁰ Answers correct to 3 significant figures CARD 7 Simplify CARD 8 The arc length of the sector shown is 10 cm. Calculate the area of the shaded segment (2 d.p.)
3 CARD 9 Line L 1 has equation y = 8 2x. Point A lines on L 1 where x = -2. Line L 2 also passes through point A but is perpendicular to L 1. CARD 10 Simplify 22 (8aa 1 ) aa aa Find the coordinates of the point where L 2 intercepts the x-axis CARD 11 Expand and simplify (x + 1) 2 (x - 1) (x - 1) 2 (x + 1) CARD 12 ss = aa bb a = 3.5 correct to 2 significant figures b = 0.40 correct to 2 significant figures State the upper and lower bounds for s, giving your answers correct to 3 significant figures
4 CARD 13 Find the 10 th term of the sequence 6, 13, 26, 45, 70,. CARD 14 On a shelf there are 18 DVD s. 5 are Musicals, 3 are Horror and the rest are Drama. Ian selects 2 different types of films. How many different combinations of films are possible? CARD 15 Solve 5x 2 x 3x 2 10x - 10 CARD 16 The triangle has an area of 14 cm 2 Calculate the perimeter of the triangle. Leave your answer in surd form
5 CARD 17 a is directly proportional to b 3 c is inversely proportional to aa When b = 2, a = 48 and when c = 15, a = 16 CARD 18 Express as a fraction Find the value of c when b = 6 CARD 19 n is a negative number. When 4 is subtracted from 8n the nn answer is 4. Find the value of n CARD 20 Solve simultaneously 8xy = 24 and 2x + 3y = 19
6 CARD 1 A metal cube of side length 10 cm is melted down and recast as a sphere. Calculate the percentage change in the surface area CARD 2 The two shapes have the same perimeter Calculate the difference in the area 19.4% 55.7 cm 2 CARD 3 A ship leaves Port A and sails 30 km on a bearing of 255⁰. It then sails a further 30 km on a bearing of 040⁰. The ship then turns and sails directly back to port. If the average speed for the whole journey is 40 km/h how long did the whole journey take? 2 hours 8 minutes CARD 4 The circle shown has a radius of 8 cm. The line AB crosses the x axis at (6,0). Calculate the length of the line AB. 4 7
7 CARD 5 For all values of CARD 7 f(x) = x 2 4 and g(x) = x 9 Simplify Solve fg(x) = gf(x) x = CARD 6 Solve cos x = -0.6 for 0⁰ x 360⁰ Answers correct to 3 significant figures CARD 8 x = 127⁰ 233⁰ The arc length of the sector shown is 10 cm. Calculate the area of the shaded segment (2 d.p.) 9.45 cm 2
8 CARD 9 Line L 1 has equation y = 8 2x. Point A lines on L 1 where x = -2. Line L 2 also passes through point A but is perpendicular to L 1. Find the coordinates of the point where L 2 intercepts the x-axis (-26, 0) CARD 10 Simplify 22 (8aa 1 ) aa aa 33 2aa 3 55 CARD 11 Expand and simplify (x + 1) 2 (x - 1) (x - 1) 2 (x + 1) 2xx 2 2 CARD 12 ss = aa bb a = 3.5 correct to 2 significant figures b = 0.40 correct to 2 significant figures State the upper and lower bounds for s, giving your answers correct to 3 significant figures 4.59 s <4.77
9 CARD 13 Find the 10 th term of the sequence 6, 13, 26, 45, 70,. 285 CARD 15 Solve 5x 2 x 3x 2 10x 10 CARD 14 On a shelf there are 18 DVD s. 5 are Musicals, 3 are Horror and the rest are Drama. Ian selects 2 different types of films. How many different combinations of films are possible? 95 CARD 16 The triangle has an area of 14 cm 2 Calculate the perimeter of the triangle. Leave your answer in surd form x -2¼ or x -2
10 CARD 17 a is directly proportional to b 3 c is inversely proportional to aa When b = 2, a = 48 and when c = 15, a = 16 CARD 18 Express as a fraction Find the value of c when b = 6 c = CARD 19 n is a negative number. When 4 is subtracted from 8n the nn answer is 4. Find the value of n n = 1 2 CARD 20 Solve simultaneously 8xy = 24 and 2x + 3y = 19 y = 1 x = 9 3 y = 6 x = 1 2
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