Daily Practice · Higher Plus

Daily Practice - Higher Plus

10th December 1994

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 2, one 20 units wide with density 0.6. How many values in total?
2
Bounds3 marks
A car covers 600 m (to the nearest 10 m) in 5 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
3
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 289 and y = x - 7 simultaneously.
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 = 98.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 4a - b and vector RS = 12a - 3b. What does this show about PQ and RS?

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