Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

3rd August 2021

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Surds2 marks
Write sqrt(75) in the form a sqrt(b), where b is as small as possible.
2
Simultaneous Equations3 marks
2 teas and 1 cake cost £6.50. 3 teas and 2 cakes cost £10.55. Find the price of a tea.
3
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 2 : 9. Write y in terms of x.
4
SOHCAHTOA (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.
5
Probability Trees3 marks
5 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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