Maths Revision Crossword

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Across
  1. 1. If Mark likes a subject, he will get over 90% in his exam. Mark has a 27% chance of doing maths and 87% chance of liking it. However, he definitely doesn't like english. What is the probability of Mark getting less than 90% if there is only two subjects to choose from? (decimal points count as a square)
  2. 2. Use simultaneous equations to solve the equations: 3x+y^2=1405 and (5x^2)+y=757 and add the results for x and y
  3. 4. Use the sine rule to work out length a where angle A is 70degrees, angle C is 60degrees and length b is 3cm and give your answer to 3 significant digits
  4. 5. Factorise and answer (x^3)-(y^3)+(x^2)-(y^2) when x=507 and y=702. Then divide the number by -40
  5. 7. The equation of a circle is (x+7)^2+(y-3)^2=49 and add points of the centre of the circle to the radius and multiply this number by 10
  6. 8. If I have 8 candies of 3 different colours: 3 of blue, 4 of red and 1 of green, what is the probability of getting 2 blues, 1 red and 1 green out of 4 picks? Give your answer to 3 decimal points (decimal points count as a square)
Down
  1. 1. Multiply 0.99^4 with binomials, without a calculator (decimal points count as a square)
  2. 3. Find the gradient of the curve y=(3x^7)+(5x^3)-(2x^2)+1 when x=2
  3. 6. Write sin45 - cos60 to the nearest 3 significant digits without refering to notes or using a calculator (decimal points count as a square)
  4. 9. Simplify √2+√8+√25 and multiply the digits together, ignoring the square roots after you have finished simpliflying.