Introduction to Quadratics and Rearranging Formulae - Topic Test 1 H v1.1

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  • 8/18/2019 Introduction to Quadratics and Rearranging Formulae - Topic Test 1 H v1.1

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    Topic Test 1 (20 minutes) Introduction to quadratics and rearranging formulae - Higher 1 (a) Write

     x 3×   x 

    5

     x 2

      as a single poer of  x!

    [1 mark]

     "nser 

    1 (b) Write3 y 

     – 2× # y 

    5

    $ y  – 5×  y 

    2  as a single poer of  y ith a numerical coefficient!

    [2 marks]

     "nser 

    2 %&pand and simplif' ( x   5)( x  2)[2 marks]

     "nser 

    3 *earrange   P  + 2w  2l   to ma,e w the su.ect![2 marks]

     "nser 

    AQA Education (AQA) is a registered charity (number 1073334) and a company limited byguarantee registered in England and Wales (number 364473)! "ur registered address is AQA#

  • 8/18/2019 Introduction to Quadratics and Rearranging Formulae - Topic Test 1 H v1.1

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    4 (a) /actorise   x2  3$[1 mark]

     "nser 

    4 (b) /actorise full'  y2  1$[2 marks]

     "nser 

    5 implif' full'baba

    baba

    5310

    #32$

    −+−

    −++

    [2 marks]

     "nser 

    6 /actorise   x2  5 x  1[2 marks]

     "nser 

    AQA Education (AQA) is a registered charity (number 1073334) and a company limited byguarantee registered in England and Wales (number 364473)! "ur registered address is AQA#

    o* 4

  • 8/18/2019 Introduction to Quadratics and Rearranging Formulae - Topic Test 1 H v1.1

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    7 Here is a rectangle!

    The length is 3 x  1 cm

    The perimeter is 10 x  cm

    Wor, out an e&pression for the area in the form ax2  bx  c[3 marks]

     "nser 

    AQA Education (AQA) is a registered charity (number 1073334) and a company limited byguarantee registered in England and Wales (number 364473)! "ur registered address is AQA#

    3 o* 4

    (3 x  1) cm

    4ot dranaccuratel'

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    8 The cured surface area of a cone is gien '  A + πrl 

    The olume of a cone is gien ' V  + 1

    3πr 2h

    Where l  is the slant height6 h is the perpendicular height

    and r  is the radius!

    8 (a) *earrange the area formula to ma,e r  the su.ect![1 mark]

     "nser 

    8 (b) Write don a formula that connects l , h and r ![1 mark]

     "nser 

    8 (c) Wor, out the olume formula in terms of π, l  and r  onl'![1 mark]

     "nser 

    AQA Education (AQA) is a registered charity (number 1073334) and a company limited byguarantee registered in England and Wales (number 364473)! "ur registered address is AQA#

    4 o* 4

    hl