Daily Practice

Higher Plus

23rd September 1954

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 1.5, one 25 units wide with density 3. How many values in total?
2
Surds3 marks
Simplify sqrt(48) + sqrt(27), giving your answer in the form a sqrt(b).
3
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 25 and y = x + 1 simultaneously.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 100. Work out the positive value of x when y = 256.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 7 cm by 4 cm by 7 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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