Daily Practice · Higher
November 1977 5-a-day
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The batch download puts all 5 tiers' November 1977 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1977
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1977A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 16 cm. Work out the other shorter side.
- 2nd November 19773 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd November 1977A histogram class is 4 units wide and contains 8 values. Work out the frequency density.
- 4th November 1977Work out 16^(3/2).
- 5th November 1977A line has equation y = -3x + 1. Work out the gradient of any line perpendicular to it.
- 6th November 1977y is inversely proportional to x. When x = 2, y = 12. Work out y when x = 4.
- 7th November 1977ABCD is a cyclic quadrilateral. Angle ABC is 128°. Work out angle ADC.
- 8th November 197722 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th November 1977Four classes in order have frequencies 4, 11, 5, 10. Write down the cumulative frequency at the end of the third class.
- 10th November 1977Write sqrt(45) in the form a sqrt(b), where b is as small as possible.
- 11th November 1977For the curve y = 12/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 12th November 1977y is directly proportional to x^2. When x = 2, y = 8. Work out y when x = 7.
- 13th November 1977A, B and C are points on a circle with centre O. Angle AOC is 74°. Work out angle ABC, where B is on the major arc.
- 14th November 19774 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th November 197730 newts are marked and released. Later 24 are caught, of which 2 are marked. Estimate the population.
- 16th November 1977A meal deal has 7 mains, 9 sides and 3 drinks. How many different meals are possible?
- 17th November 1977Expand and simplify (x + 2)(x + 1)(x - 1).
- 18th November 1977y is directly proportional to x. When x = 7, y = 56. Work out y when x = 14.
- 19th November 1977A cone has base radius 4 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 20th November 197717 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st November 1977A cumulative frequency graph is drawn for 224 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 22nd November 1977A mass is 72 kg, correct to the nearest whole number. Write down the upper bound.
- 23rd November 1977Make x the subject of y = 7x^2 - 3.
- 24th November 1977A town's population is 35000 and grows by 8% each year. Work out the population after 4 years, to the nearest whole number.
- 25th November 1977In triangle ABC, angle A is 51°, angle B is 30° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.
- 26th November 19771 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th November 1977A box plot has a minimum of 12 and a maximum of 40. Work out the range.
- 28th November 1977Write 5^-3 as a fraction.
- 29th November 1977Factorise x^2 - 36.
- 30th November 1977A block has volume 10 cm^3 and density 4 g/cm^3. Work out its mass.