Daily Practice

Higher Plus

29th April 1982

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

1
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2, one 20 units wide with density 3. How many values in total?
2
Surds3 marks
Simplify sqrt(12) + sqrt(147), giving your answer in the form a sqrt(b).
3
Algebraic Fractions3 marks
Write 3/(x - 4) + 4/(x - 3) as a single fraction.
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 8 cm by 14 cm by 4 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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