Daily Practice · Higher
April 1969 5-a-day
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The batch download puts all 5 tiers' April 1969 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1969
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 196925 voles are marked and released. Later 64 are caught, of which 8 are marked. Estimate the population.
- 2nd April 1969Work out (8 x 10^8) x (5 x 10^4). Give your answer in standard form.
- 3rd April 1969A region is defined by y < -2x + 8. Should the boundary line be solid or dashed, and why?
- 4th April 1969y is directly proportional to x. When x = 7, y = 77. Work out y when x = 9.
- 5th April 1969The point (5, -4) is enlarged by scale factor -2 about the centre (4, -3). Write down the coordinates of the image.
- 6th April 19691 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th April 1969A cumulative frequency graph is drawn for 116 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 8th April 1969Write the recurring decimal 0.7373... as a fraction in its simplest form.
- 9th April 1969Factorise x^2 - 2x + 1.
- 10th April 1969A town's population is 25500 and grows by 6% each year. Work out the population after 4 years, to the nearest whole number.
- 11th April 1969Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 2496 cm^3. Work out the volume of the smaller.
- 12th April 196919 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th April 1969A box plot has a minimum of 5 and a maximum of 28. Work out the range.
- 14th April 1969A bill is £384 including VAT at 20%. Work out the amount before VAT.
- 15th April 1969Work out the equation of the line parallel to y = 3x - 6 that passes through (5, 17).
- 16th April 1969A block has volume 155 cm^3 and density 8 g/cm^3. Work out its mass.
- 17th April 1969A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 9 cm. Work out the other shorter side.
- 18th April 19695 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th April 1969A box plot has minimum 4, lower quartile 12, median 19, upper quartile 27 and maximum 33. Work out the interquartile range.
- 20th April 1969A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 21st April 1969A line has equation y = 5x + 7. Work out the gradient of any line perpendicular to it.
- 22nd April 1969x : y = 3 : 8. Write y in terms of x.
- 23rd April 1969ABCD is a cyclic quadrilateral. Angle ABC is 108°. Work out angle ADC.
- 24th April 196914 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th April 1969A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 26th April 1969Work out (18 x 10^9) / (2 x 10^3). Give your answer in standard form.
- 27th April 1969For the curve y = -16/x, work out y when x = 4, and write down the equation of its vertical asymptote.
- 28th April 1969A price rises by 15% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 29th April 1969A, 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.
- 30th April 19693 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.