Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
19th April 2023
- 1Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.5151... as a fraction in its simplest form.
- 2Simultaneous Equations3 marks
4 teas and 2 cakes cost £9.80. 4 teas and 4 cakes cost £16.40. Find the price of a tea.
- 3Speed and Density2 marks
A block has volume 130 cm^3 and density 8 g/cm^3. Work out its mass.
- 4SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 5 cm and an angle of 24°. Work out the side opposite that angle, to 1 decimal place.
- 5Probability Trees3 marks
3 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
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