Daily Practice · Higher
June 1957 5-a-day
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The batch download puts all 5 tiers' June 1957 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1957
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 1957A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
- 2nd June 195715 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd June 1957A cumulative frequency graph is drawn for 88 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 4th June 1957Work out 36^(3/2).
- 5th June 1957A region is defined by y <= 3x + 5. Should the boundary line be solid or dashed, and why?
- 6th June 1957A town's population is 5500 and grows by 3% each year. Work out the population after 6 years, to the nearest whole number.
- 7th June 1957The point (1, 2) is enlarged by scale factor -3 about the centre (-3, 1). Write down the coordinates of the image.
- 8th June 19572 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th June 1957A box plot has a minimum of 5 and a maximum of 60. Work out the range.
- 10th June 1957Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
- 11th June 1957Factorise x^2 - 12x + 32.
- 12th June 1957A block has volume 180 cm^3 and density 3 g/cm^3. Work out its mass.
- 13th June 1957Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 621 cm^3. Work out the volume of the smaller.
- 14th June 195714 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th June 1957A box plot has minimum 3, lower quartile 7, median 17, upper quartile 22 and maximum 31. Work out the interquartile range.
- 16th June 1957A meal deal has 5 mains, 9 sides and 3 drinks. How many different meals are possible?
- 17th June 1957Work out the equation of the line parallel to y = 5x + 7 that passes through (2, 15).
- 18th June 1957x : y = 5 : 9. Write y in terms of x.
- 19th June 1957A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 9 cm. Work out the other shorter side.
- 20th June 19572 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st June 1957A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 22nd June 1957A mass is 12.2 kg, correct to 1 decimal place. Write down the upper bound.
- 23rd June 1957A line has equation y = -5x + 2. Work out the gradient of any line perpendicular to it.
- 24th June 1957A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 25th June 1957ABCD is a cyclic quadrilateral. Angle ABC is 90°. Work out angle ADC.
- 26th June 195723 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th June 1957A histogram class is 4 units wide and contains 10 values. Work out the frequency density.
- 28th June 1957Write 2^-3 as a fraction.
- 29th June 1957For the curve y = 24/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 30th June 1957y is inversely proportional to x. When x = 5, y = 10. Work out y when x = 2.