Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
24th November 2004
- 1The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 2Simultaneous Equations3 marks
3 teas and 1 cake cost £5.70. 4 teas and 3 cakes cost £11.10. Find the price of a tea.
- 3Speed and Density2 marks
A block has volume 30 cm^3 and density 11 g/cm^3. Work out its mass.
- 4SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 7 cm and an angle of 25°. Work out the side adjacent to that angle, to 1 decimal place.
- 5Probability Trees3 marks
1 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
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