Daily Practice

Higher Plus

2nd June 1958

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 2a - 5b and vector RS = 8a - 20b. What does this show about PQ and RS?
2
Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 18 wins. How many games did they play?
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 0.4, one 25 units wide with density 1.4. How many values in total?
4
Bounds3 marks
A block has mass 620 g (to the nearest 10 g) and volume 8 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
5
Factorising Harder Quadratics3 marks
Solve 9x^2 + 27x + 20 = 0.

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