Daily Practice · Higher
July 1953 5-a-day
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The batch download puts all 5 tiers' July 1953 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1953
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 1953A mass is 760 kg, correct to the nearest 10. Write down the upper bound.
- 2nd July 1953Factorise x^2 + 3x - 4.
- 3rd July 1953y is directly proportional to x. When x = 5, y = 20. Work out y when x = 3.
- 4th July 1953Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 88 cm^3. Work out the volume of the smaller.
- 5th July 195316 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th July 1953A cumulative frequency graph is drawn for 208 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 7th July 1953Write 8^-2 as a fraction.
- 8th July 1953Work out the equation of the line parallel to y = -2x - 1 that passes through (2, 5).
- 9th July 1953A town's population is 20000 and grows by 5% each year. Work out the population after 5 years, to the nearest whole number.
- 10th July 1953A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 6 cm. Work out the other shorter side.
- 11th July 19532 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th July 1953A box plot has a minimum of 4 and a maximum of 15. Work out the range.
- 13th July 1953Work out (7 x 10^5) x (6 x 10^3). Give your answer in standard form.
- 14th July 1953A line has equation y = 3x + 5. Work out the gradient of any line perpendicular to it.
- 15th July 1953A block has volume 55 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 16th July 1953ABCD is a cyclic quadrilateral. Angle ABC is 114°. Work out angle ADC.
- 17th July 195320 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th July 1953A box plot has minimum 2, lower quartile 6, median 9, upper quartile 17 and maximum 25. Work out the interquartile range.
- 19th July 1953Write the recurring decimal 0.8585... as a fraction in its simplest form.
- 20th July 1953For the curve y = -3/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 21st July 1953x : y = 4 : 7. Write y in terms of x.
- 22nd July 1953A, B and C are points on a circle with centre O. Angle AOC is 130°. Work out angle ABC, where B is on the major arc.
- 23rd July 19537 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th July 1953A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 25th July 1953A bill is £552 including VAT at 20%. Work out the amount before VAT.
- 26th July 1953Expand and simplify (x + 3)(x - 1)(x + 4).
- 27th July 1953A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 28th July 1953A cone has base radius 9 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 29th July 195312 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th July 1953A histogram class is 4 units wide and contains 2 values. Work out the frequency density.
- 31st July 1953A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?