Daily Practice · Higher
June 1977 5-a-day
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The batch download puts all 5 tiers' June 1977 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1977
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 1977A bill is £168 including VAT at 20%. Work out the amount before VAT.
- 2nd June 1977Factorise x^2 - 12x + 36.
- 3rd June 1977y is directly proportional to x. When x = 6, y = 18. Work out y when x = 10.
- 4th June 1977Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 2432 cm^3. Work out the volume of the smaller.
- 5th June 197710 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th June 1977A cumulative frequency graph is drawn for 116 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 7th June 1977A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 8th June 1977Work out the equation of the line parallel to y = -2x + 7 that passes through (2, 4).
- 9th June 1977A town's population is 34500 and grows by 6% each year. Work out the population after 4 years, to the nearest whole number.
- 10th June 1977A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 5 cm. Work out the other shorter side.
- 11th June 19774 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th June 1977A box plot has a minimum of 11 and a maximum of 35. Work out the range.
- 13th June 1977Work out (35 x 10^10) / (5 x 10^5). Give your answer in standard form.
- 14th June 1977A line has equation y = 3x + 2. Work out the gradient of any line perpendicular to it.
- 15th June 1977A block has volume 100 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 16th June 1977ABCD is a cyclic quadrilateral. Angle ABC is 99°. Work out angle ADC.
- 17th June 197725 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th June 1977A box plot has minimum 7, lower quartile 10, median 19, upper quartile 27 and maximum 31. Work out the interquartile range.
- 19th June 1977Write the recurring decimal 0.555... as a fraction in its simplest form.
- 20th June 1977For the curve y = 40/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 21st June 1977x : y = 5 : 7. Write y in terms of x.
- 22nd June 1977A, B and C are points on a circle with centre O. Angle AOC is 142°. Work out angle ABC, where B is on the major arc.
- 23rd June 19773 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th June 1977A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 25th June 1977Work out 8^(2/3).
- 26th June 1977Expand and simplify (x - 4)(x + 3)(x + 5).
- 27th June 1977A price rises by 25% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 28th June 1977A cone has base radius 6 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 29th June 197714 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th June 1977A histogram class is 20 units wide and contains 30 values. Work out the frequency density.