Daily Practice · Higher
June 2020 - Higher 5-a-day
Every Higher sheet published in June 2020, with answers. Grades 6-7 - Higher-tier method and manipulation.
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The batch download puts all 5 tiers' June 2020 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 2020
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 20201 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd June 202040 newts are marked and released. Later 40 are caught, of which 5 are marked. Estimate the population.
- 3rd June 2020A bill is £384 including VAT at 20%. Work out the amount before VAT.
- 4th June 2020A line has equation y = -3x + 1. Work out the gradient of any line perpendicular to it.
- 5th June 2020y is directly proportional to x. When x = 3, y = 33. Work out y when x = 5.
- 6th June 2020ABCD is a cyclic quadrilateral. Angle ABC is 56°. Work out angle ADC.
- 7th June 202020 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th June 2020A cumulative frequency graph is drawn for 240 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 9th June 2020A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 10th June 2020For the curve y = 70/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 11th June 2020A town's population is 2500 and grows by 4% each year. Work out the population after 6 years, to the nearest whole number.
- 12th June 2020A, B and C are points on a circle with centre O. Angle AOC is 156°. Work out angle ABC, where B is on the major arc.
- 13th June 20206 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th June 2020A box plot has a minimum of 10 and a maximum of 30. Work out the range.
- 15th June 2020Work out (18 x 10^11) / (9 x 10^5). Give your answer in standard form.
- 16th June 2020Expand and simplify (x - 1)(x + 4)(x + 1).
- 17th June 2020A block has volume 55 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 18th June 2020A cone has base radius 3 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 19th June 20208 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th June 2020A box plot has minimum 2, lower quartile 12, median 16, upper quartile 21 and maximum 25. Work out the interquartile range.
- 21st June 2020Write the recurring decimal 0.222... as a fraction in its simplest form.
- 22nd June 2020Make x the subject of y = 6x^2 - 8.
- 23rd June 2020x : y = 4 : 5. Write y in terms of x.
- 24th June 2020In triangle ABC, angle A is 31°, angle B is 52° and side a is 13 cm. Use the sine rule to work out side b, to 1 decimal place.
- 25th June 20206 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th June 2020A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 27th June 2020Work out 36^(3/2).
- 28th June 2020Factorise x^2 - 121.
- 29th June 2020A price rises by 15% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 30th June 2020A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.