Daily Practice · Higher Plus

Daily Practice - Higher Plus

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8th April 1992

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

  1. 1
    Rearranging Harder Formulae3 marks

    Make x the subject of 5x + 8 = y(x + 8).

  2. 2
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^2. When x = 4, y = 128. Work out the positive value of x when y = 648.

  3. 3
    Proof of the Circle Theorems2 marks

    In a circle theorem proof, a step uses the fact that a triangle is drawn from the ends of a diameter to a point on the circle. State the reason being quoted.

  4. 4
    Probability Equation Questions3 marks

    A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 10/21. Work out r.

  5. 5
    Histograms3 marks

    A histogram has two bars: one 20 units wide with frequency density 1.2, one 25 units wide with density 3. How many values in total?

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Any date always gives the same five questions, so a sheet can be set again or shared. All of April 1992, including the monthly compilation PDF.