Find the gradient and the midpoint of the line joining A(-3, 4) to B(-5, 10)
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- Louise Harmon
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1 CARD 1 CARD 2 A distance d is given as 450 m when rounded to the nearest 10 m. Write down an error interval for d as an inequality. Make x the subject of the formula a) ax b = c b) x a + b = c CARD 3 Find the gradient and the midpoint of the line joining A(-3, 4) to B(-5, 10) CARD 4 Calculate the area of the triangle
2 CARD 5 Solve simultaneously 5x 2y = 14 2x + 3y = -2 CARD 6 In a class, 40% of the students picked football as their PE option, 7 25 picked tennis and the rest picked basketball. What percentage of the class picked basketball? CARD 7 Calculate the area of the trapezium CARD 8 Expand and simplify a) 3(2a 3b) 5(a + 2b) b) (x 7)(x + 9)
3 CARD 9 Work out a) 3 4 b) c) 4 2 d) 7 0 CARD 10 Describe fully the transformation that maps B C A D a) A onto B b) A onto C c) A onto D CARD 11 A regular polygon has an interior angle of 165⁰. How many sides does the polygon have? CARD 12 Factorise a) 3x x 2 b) 10x 2 + 5x c) x 2 - x - 56
4 CARD 13 Write the following in order, starting with the smallest CARD 14 The cylinder has a diameter of 10 cm. Calculate the volume (Answer correct to 1 decimal place) CARD 15 Work out a) b) CARD 16 Calculate an estimate for the mean Length (cm) Frequency 0 l < l < l < l < l < 50 7
5 CARD 17 Solve a) 5(x 3) > 3x 6 b) 2x CARD 18 Calculate the perimeter CARD students are asked which language(s) they study. 23 study French 18 study German. 9 study French but not German. Draw a Venn diagram to show this information and use this to work out how many students don t study French or German CARD 20 Calculate the size of angles x and y. Give you answers to 1 decimal place
6 CARD 1 CARD 2 A distance d is given as 450m when rounded to the nearest 10 m. Write down an error interval for d as an inequality. CARD d < 455 Find the gradient and the midpoint of the line joining A(-3, 4) to B(-5, 10) Gradient = -3 Midpoint = (-4, 7) Make x the subject of the formula CARD 4 a) ax b = c b) x a x = c+b a + b = c x = a(c b) Calculate the area of the triangle 54 cm 2
7 CARD 5 Solve simultaneously CARD 7 5x 2y = 14 2x + 3y = -2 x = 2 y = -2 Calculate the area of the trapezium 40 cm 2 CARD 6 In a class, 40% of the students picked football as their PE option, 7 25 picked tennis and the rest picked basketball. What percentage of the class picked basketball? 32 % CARD 8 Expand and simplify a) 3(2a 3b) 5(a + 2b) b) (x 7)(x + 9) a) a - 19b b) x 2 + 2x - 63
8 CARD 9 Work out CARD 10 Describe fully the transformation that maps a) b) C A B a) A onto B Enlargement, Scale factor 2, Centre (0,0) b) A onto C c) d) D Reflection in the line x = -1 c) A onto D Rotation through 90⁰ clockwise about centre (0,0) CARD 11 CARD 12 Factorise A regular polygon has an interior angle of 165⁰. How many sides does the polygon have? 24 sides a) 3x x 2 x(3 -x) b) 10x 2 + 5x 5x(2x+1) c) x 2 - x 56 (x 8)(x + 7)
9 CARD 13 Write the following in order, starting with the smallest CARD 14 The cylinder has a diameter of 10 cm. Calculate the volume cm 3 (Answer correct to 1 decimal place) CARD 15 Work out without a calculator a) b) CARD 16 Calculate an estimate for the mean Length (cm) Frequency 0 l < l < l < l < l < cm
10 CARD 17 Solve a) 5(x 3) > 3x 6 x > 4.5 b) 2x x 10 CARD 18 Calculate the perimeter Answer correct to 1 decimal place 30.8 cm CARD students are asked which language(s) they study. 23 study French 18 study German. 9 study French but not German. Draw a Venn diagram to show this information and use this to work out how many students don t study French or German 23 CARD 20 Calculate the size of angles x and y. Give you answers to 1 decimal place x = 12.2 cm y = 12.6 cm
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