Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

2nd February 2000

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

1
Rearranging Harder Formulae3 marks
Make x the subject of 4x + 5 = y(x + 5).
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 80. Work out the positive value of x when y = 180.
3
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 2a + 5b and vector RS = 4a + 10b. What does this show about PQ and RS?
4
Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 14 wins. How many games did they play?
5
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2, one 5 units wide with density 3. How many values in total?

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