Daily Practice

Higher Plus

6th October 1988

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

1
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2, one 10 units wide with density 3. How many values in total?
2
Surds3 marks
Simplify sqrt(50) + sqrt(98), giving your answer in the form a sqrt(b).
3
Factorising Harder Quadratics3 marks
Solve 2x^2 - 5x - 3 = 0.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 96. Work out the positive value of x when y = 24.
5
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that the alternate segment theorem is being proved. State the reason being quoted.

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