Daily Practice

Higher Plus

1st April 1969

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 2, one 25 units wide with density 0.8. How many values in total?
2
Surds3 marks
Expand and simplify (9 + sqrt(6))(9 - sqrt(6)).
3
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 676 and y = x + 14 simultaneously.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 64. Work out the positive value of x when y = 144.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 10 cm by 8 cm by 5 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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