Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
1st January 2007
- 1Bounds3 marks
A block has mass 880 g (to the nearest 10 g) and volume 17 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 2Trigonometric and Exponential Graphs2 marks
The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 180.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 5.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = b. M is the point dividing AB in the ratio 2 : 1. Write vector OM in terms of m and b.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/8. A player expects 5 wins. How many games did they play?
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