Daily Practice · Higher
July 1960 5-a-day
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The batch download puts all 5 tiers' July 1960 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1960
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 1960A line has equation y = 2x + 7. Work out the gradient of any line perpendicular to it.
- 2nd July 1960y is directly proportional to x^2. When x = 2, y = 28. Work out y when x = 4.
- 3rd July 1960ABCD is a cyclic quadrilateral. Angle ABC is 91°. Work out angle ADC.
- 4th July 196019 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th July 196050 fish are marked and released. Later 40 are caught, of which 5 are marked. Estimate the population.
- 6th July 1960Write sqrt(75) in the form a sqrt(b), where b is as small as possible.
- 7th July 1960For the curve y = 110/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 8th July 1960y is directly proportional to x. When x = 5, y = 40. Work out y when x = 8.
- 9th July 1960A, 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.
- 10th July 19605 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th July 1960A cumulative frequency graph is drawn for 208 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 12th July 1960A meal deal has 9 mains, 5 sides and 2 drinks. How many different meals are possible?
- 13th July 1960Expand and simplify (x - 5)(x - 1)(x - 2).
- 14th July 1960A town's population is 29000 and grows by 4% each year. Work out the population after 2 years, to the nearest whole number.
- 15th July 1960A cone has base radius 10 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 16th July 196017 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th July 1960A box plot has a minimum of 14 and a maximum of 41. Work out the range.
- 18th July 1960A mass is 570 kg, correct to the nearest 10. Write down the upper bound.
- 19th July 1960Make x the subject of y = 7x^2 - 7.
- 20th July 1960A block has volume 85 cm^3 and density 11 g/cm^3. Work out its mass.
- 21st July 1960In triangle ABC, angle A is 71°, angle B is 52° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.
- 22nd July 19603 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd July 1960A box plot has minimum 7, lower quartile 10, median 15, upper quartile 23 and maximum 29. Work out the interquartile range.
- 24th July 1960Write 8^-3 as a fraction.
- 25th July 1960Factorise x^2 - 16.
- 26th July 1960x : y = 2 : 9. Write y in terms of x.
- 27th July 1960A right-angled triangle has sides 7 cm, 24 cm and 25 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
- 28th July 196024 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th July 1960A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 30th July 1960Work out (8 x 10^5) x (7 x 10^-5). Give your answer in standard form.
- 31st July 1960A region is defined by y <= -4x + 7. Should the boundary line be solid or dashed, and why?