GCSE Cross-Number on Number and Algebra

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Across
  1. 2. Ben is three years older than Abi. Cary is twice as old as Ben. Dean is 14 times as old as Abi. Altogther their ages add up to 66. Find Dean's age.
  2. 4. Find the coefficient of x^2 when (4x + 9)^3 is expanded.
  3. 6. Mr Brown has his garden rubbish collected every 25 days and oil delivered every 40 days. One Thursday his rubbish is collected and his oil is delivered. How many days until they both happen on the same Thursday again?
  4. 9. Given a = 3b^2+7 divided by 10. Find the value of b when a = 85
  5. 10. A house is now valued at £260000. For the past two years it has risen in value by 2% each year. For the three years prior to that it fell in value by 0.5%. Find the value of the house 5 years ago to the nearest integer.
  6. 12. £8000 is invested for 5 years in a bank account paying 1.5% compound interest. Find the amount after 5 years.
  7. 13. The population of a city in 2010 was 567000. Now the population of the same city is 8.14 x 10^5. Find the percentage increase to 3sf.
  8. 14. Given all values have been rounded to 2sf, find the maximum value of D to 3sf if D = A+2B divided by C and A=140, B=65 and C=4.9
  9. 15. Find the value of tan(65) divided by tan(2)+7. Give your answer to 3sf.
Down
  1. 1. Given f(x) = 3x+5 and g(x) = x^2-7, find gf(2)
  2. 3. Solve to 2dp xn+1 = Square root 7/x+1, use x0 = 2
  3. 5. Find n given 0.876876... = n/333. Show your steps algebraically.
  4. 6. In the UK petrol costs £1.19 a litre. Given £1 = $1.33 and 1 gallon = 4.55 litres. Find the cost of 1 gallon of petrol bought in the UK in dollars.
  5. 7. A rectangle has a length that is 2cm more than the width. The area of the rectangle is 72cm^2. Find the width to 3sf.
  6. 8. A sequence begins 11, 13, 19, 29, 43... Find the 25th term.
  7. 9. Three cornettos and 2 magnums cost £9.75. Five cornettos and 5 magnums cost £19.75. Find the cost of one cornetto.
  8. 10. The average distance from the Earth to the Moon is 3.844 x 10^5km. Given a space shuttle is aiming to take 14 hours to travel from the Earth to the Moon, find the average speed to 3sf.
  9. 11. Increase £560 by 200%