Daily Practice · Higher
April 1992 - Higher 5-a-day
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The batch download puts all 5 tiers' April 1992 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1992
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1992A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 2nd April 1992A region is defined by y < x - 6. Should the boundary line be solid or dashed, and why?
- 3rd April 1992y is directly proportional to x. When x = 7, y = 70. Work out y when x = 10.
- 4th April 1992The point (3, -3) is enlarged by scale factor -1 about the centre (4, 2). Write down the coordinates of the image.
- 5th April 19921 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th April 1992A cumulative frequency graph is drawn for 236 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 7th April 1992Work out (10 x 10^10) / (2 x 10^3). Give your answer in standard form.
- 8th April 1992Factorise x^2 + 2x - 63.
- 9th April 1992A town's population is 39000 and grows by 8% each year. Work out the population after 6 years, to the nearest whole number.
- 10th April 1992Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 296 cm^3. Work out the volume of the smaller.
- 11th April 199225 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th April 1992A box plot has a minimum of 12 and a maximum of 61. Work out the range.
- 13th April 1992Write the recurring decimal 0.444... as a fraction in its simplest form.
- 14th April 1992Work out the equation of the line parallel to y = -x + 6 that passes through (5, -6).
- 15th April 1992A block has volume 150 cm^3 and density 11 g/cm^3. Work out its mass.
- 16th April 1992A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 4 cm. Work out the other shorter side.
- 17th April 19923 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th April 1992A box plot has minimum 1, lower quartile 7, median 14, upper quartile 23 and maximum 27. Work out the interquartile range.
- 19th April 1992Work out 64^(2/3).
- 20th April 1992A line has equation y = -3x + 5. Work out the gradient of any line perpendicular to it.
- 21st April 1992x : y = 3 : 7. Write y in terms of x.
- 22nd April 1992ABCD is a cyclic quadrilateral. Angle ABC is 84°. Work out angle ADC.
- 23rd April 199215 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th April 1992A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 25th April 1992Write sqrt(27) in the form a sqrt(b), where b is as small as possible.
- 26th April 1992For the curve y = -8/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 27th April 1992A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 28th April 1992A, B and C are points on a circle with centre O. Angle AOC is 148°. Work out angle ABC, where B is on the major arc.
- 29th April 19928 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th April 1992A histogram class is 4 units wide and contains 6 values. Work out the frequency density.