Daily Practice

Higher Plus

27th November 1969

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 1.5, one 10 units wide with density 0.8. How many values in total?
2
Surds3 marks
Simplify sqrt(72) + sqrt(98), giving your answer in the form a sqrt(b).
3
Trigonometric and Exponential Graphs2 marks
The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 90.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 50. Work out the positive value of x when y = 162.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 3 cm by 15 cm by 5 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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