Questions asked by Aliya M.

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• A box is being designed to contain 4 stacks of chocolate wafers. Each chocolate wafer is in the shape of a regular hexagon of side length 3 cm. What is the area of the rectangular base of the box? Give your answer as k√3 where k is irrational
  
• ABCDEFGH is a regular octagon. M is the midpoint of BF. How do you prove that triangles AMG and BDF are similar?
  
• Marcus says "If you increase a number by 20% and then you take the answer and decrease it by 20% you don't get back to the number you started with." Is Marcus correct? Explain how you know
  
• The inner circle is the largest one that can be drawn inside the square. The outer circle is the smallest one that can be drawn with the square inside it. Prove that the shaded area between the 2 circles is the same as the area enclosed by inner circle?
  
• A whole number is input into the machine The output is then used as a new input to produce a second output. Rosa says "the last digit of the second output must be a 5." Is Rosa correct? Explain your answer
  
• What would be the message of the poem 'Remains' by Simon Armitage?
  
• Bucket has 4 types of balls: small white small black large white large black. Ratio small:large is 3:7. Ratio white:black is 5:7. Jack says "There must be at least 60 balls in the bucket." Is Jack correct? Show working to justify your answer
  
• A is the point (0,-4) and B is the point (0,10). AB is the diameter of a circle which passes through the point C (p,0) where p is positive. Find the exact value of p. Give your answer in its simplest form? PLEASE HELP
  
• For all values of x, f(x)=3x+k, where k is a constant Given that ff(3) = 7, find the value of k? PLEASE HELP
  
• In a company, the ratio of full-time to part-time employees is #8:5#. There are 39 more full-time employees than part-time employees. What is the number of part-time employees?
  
• An arithmetic sequence has first term a. The 4th term of the sequence is ka. The 7th term of the sequence is 9a. Find the value of k?
  
• A block of stone has a mass of T tonnes. The density of the stone is 2.5g/cm#^3#. Show that the volume of the block is 0.4T#m^3#?
  
• PLEASE HELP ABCD is a trapezium. Angle ADC = Angle BCD = 90. Angle BAD = 58. AB = 4.7cm and BC = 7.3cm. a) Show that AD = 9.8cm correct to 1 decimal place. b) Find the size of Angle ACB?
  
• Solve the simultaneous equations y = √#x#+2 and (#y+x#)(#y-x#)=0 ?
  
• A magazine says that a new car's value drops by 30% in the first year. The car's value then drops by 15% each year after that. Greg says "That means the value of a new car is halved in 3 years." Is Greg correct? Justify your answer.
  
• Simplify fully 2√5 / 2+√5 ?
  
• The amount of money, £P, in a savings account t years after 1st January 2011 is given by the formula #P = 6000 xx 1.05^t#. Does the account pay simple or compound interest. Explain how you know?
  
• Y is inversely proportional to √x . When x = 9, y = c, where c is a constant. When x=25, y = c-16. Show that when x=36, y = 20?
  
• Martha is playing with Lego. She has 300 of each type - 2spot, 4spot, 8spot. Some bricks used to make zombie. Uses 2spots, 4spots, 8spots in ratio 3:1:2 when finished has twice as many 4spots left as 2spot. How many 8spots are left?
  
• Right:Left handed is 15:2 in a company. 12 right handed people join the company. Ratio is now 9:1. How many left handed people are there in the company?
  
• A bag contains 10 coloured counters. 2 are picked at random. Probability of them both being red is 2/15. Use algebra to work out how many of the 10 counters in the are red?
  
• Question below?
  
• Sequences help?
  
• Angles problem?
  
• Angles help?
  
• PLEASE HELP?
  
• Circle question?
  
• Circle tangent question?
  
• S is a geometric sequence? a)Given that (#sqrtx#-1), 1 and (#sqrtx#+1) are the 1st 3 terms of S, find the value of #x#. b)Show that the 5th term of S is 7+5#sqrt2#