Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

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8th August 2024

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

  1. 1
    Proof of the Circle Theorems2 marks

    In a circle theorem proof, a step uses the fact that two angles at the circumference stand on the same arc. State the reason being quoted.

  2. 2
    Probability Equation Questions3 marks

    A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 2/5. Work out r.

  3. 3
    Histograms2 marks

    On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2. How many more values are in the wider class?

  4. 4
    Surds3 marks

    Simplify sqrt(72) + sqrt(72), giving your answer in the form a sqrt(b).

  5. 5
    Factorising Harder Quadratics3 marks

    Solve 16x^2 - 25 = 0.

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