Daily Practice

Higher Plus

1st November 1974

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.2, one 5 units wide with density 0.6. How many values in total?
2
Surds3 marks
Rationalise the denominator of 12/sqrt(2), giving your answer in its simplest form.
3
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 225 and y = x + 3 simultaneously.
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 = 54.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 14 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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