Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

25th March 2013

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

1
Algebraic Fractions3 marks
Write 7/(x + 3) + 4/(x + 2) as a single fraction.
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 108. Work out the positive value of x when y = 48.
3
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = a - 4b and vector RS = 4a - 16b. What does this show about PQ and RS?
4
Probability Equation Questions3 marks
The probability of winning a game is 7/8. A player expects 91 wins. How many games did they play?
5
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.5, one 5 units wide with density 1.4. How many values in total?

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