Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

10th January 2011

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

1
Bounds3 marks
A block has mass 260 g (to the nearest 10 g) and volume 15 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
2
Rearranging Harder Formulae3 marks
Make x the subject of 3x + 5 = y(x + 5).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 49. Work out y when x = 36.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = c. P is the midpoint. Write vector OP in terms of a and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 18 wins. How many games did they play?

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