Daily Practice · Higher

Daily Practice - Higher

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

28th October 2023

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
Standard Form2 marks
Work out (4 x 10^5) x (7 x 10^-2). Give your answer in standard form.
2
Simultaneous Equations3 marks
3 teas and 3 cakes cost £12.00. 3 teas and 2 cakes cost £10.20. Find the price of a tea.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 175. Work out y when x = 3.
4
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 21 cm and an angle of 66°. Work out the side opposite that angle, to 1 decimal place.
5
Probability Trees3 marks
3 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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