Daily Practice · Higher Plus

Daily Practice - Higher Plus

26th March 1993

5 questions · 15 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 0.4, one 25 units wide with density 0.8. How many values in total?
2
Surds3 marks
Rationalise the denominator of 88/sqrt(11), giving your answer in its simplest form.
3
Factorising Harder Quadratics3 marks
Solve 8x^2 - 6x - 9 = 0.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 72. Work out the positive value of x when y = 128.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 4 cm by 5 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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