Daily Practice · Higher Plus

Daily Practice - Higher Plus

5th November 1996

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 0.4, one 10 units wide with density 0.8. How many values in total?
2
Surds3 marks
Expand and simplify (4 + sqrt(3))(4 - sqrt(3)).
3
Algebraic Fractions3 marks
Write 6/(x - 2) + 4/(x + 4) as a single fraction.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 36. Work out the positive value of x when y = 225.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 7 cm by 8 cm by 6 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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