Daily Practice · Higher
January 1977 5-a-day
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The batch download puts all 5 tiers' January 1977 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1977
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1977A box plot has minimum 6, lower quartile 9, median 18, upper quartile 22 and maximum 29. Work out the interquartile range.
- 2nd January 1977Write 4^-2 as a fraction.
- 3rd January 1977A region is defined by y < -3x - 2. Should the boundary line be solid or dashed, and why?
- 4th January 1977x : y = 5 : 6. Write y in terms of x.
- 5th January 1977The point (6, 2) is enlarged by scale factor -3 about the centre (2, -3). Write down the coordinates of the image.
- 6th January 19771 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th January 1977A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 8th January 1977Work out (7 x 10^8) x (7 x 10^2). Give your answer in standard form.
- 9th January 1977Factorise x^2 - 2x - 15.
- 10th January 1977A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 11th January 1977Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 280 cm^3. Work out the volume of the smaller.
- 12th January 197723 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th January 1977A histogram class is 10 units wide and contains 15 values. Work out the frequency density.
- 14th January 1977Write the recurring decimal 0.5454... as a fraction in its simplest form.
- 15th January 1977Work out the equation of the line parallel to y = 2x + 3 that passes through (4, 15).
- 16th January 1977y is inversely proportional to x. When x = 4, y = 6. Work out y when x = 6.
- 17th January 1977A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 5 cm. Work out the other shorter side.
- 18th January 19771 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th January 1977Four classes in order have frequencies 6, 10, 12, 10. Write down the cumulative frequency at the end of the third class.
- 20th January 1977A bill is £720 including VAT at 20%. Work out the amount before VAT.
- 21st January 1977A line has equation y = -4x + 1. Work out the gradient of any line perpendicular to it.
- 22nd January 1977y is directly proportional to x^2. When x = 6, y = 216. Work out y when x = 9.
- 23rd January 1977ABCD is a cyclic quadrilateral. Angle ABC is 109°. Work out angle ADC.
- 24th January 197715 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th January 197760 beetles are marked and released. Later 48 are caught, of which 6 are marked. Estimate the population.
- 26th January 1977A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 27th January 1977For the curve y = -18/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 28th January 1977y is directly proportional to x. When x = 5, y = 45. Work out y when x = 2.
- 29th January 1977A, B and C are points on a circle with centre O. Angle AOC is 86°. Work out angle ABC, where B is on the major arc.
- 30th January 19774 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 31st January 1977A cumulative frequency graph is drawn for 56 values. What cumulative frequency do you read across from to estimate the lower quartile?