Daily Practice · Higher
April 1995 - Higher 5-a-day
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The batch download puts all 5 tiers' April 1995 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1995
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1995In triangle ABC, angle A is 38°, angle B is 74° and side a is 15 cm. Use the sine rule to work out side b, to 1 decimal place.
- 2nd April 19955 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd April 1995A cumulative frequency graph is drawn for 88 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 4th April 1995Write 8^-1 as a fraction.
- 5th April 1995Factorise x^2 - 4.
- 6th April 1995A town's population is 16500 and grows by 4% each year. Work out the population after 6 years, to the nearest whole number.
- 7th April 1995A right-angled triangle has sides 3 cm, 4 cm and 5 cm. Work out the angle opposite the 3 cm side, to 1 decimal place.
- 8th April 199518 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th April 1995A box plot has a minimum of 14 and a maximum of 66. Work out the range.
- 10th April 1995Work out (7 x 10^6) x (6 x 10^6). Give your answer in standard form.
- 11th April 1995A region is defined by y < x + 7. Should the boundary line be solid or dashed, and why?
- 12th April 1995A block has volume 25 cm^3 and density 8 g/cm^3. Work out its mass.
- 13th April 1995The point (5, 6) is enlarged by scale factor -2 about the centre (0, 2). Write down the coordinates of the image.
- 14th April 19956 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th April 1995A box plot has minimum 12, lower quartile 18, median 22, upper quartile 28 and maximum 37. Work out the interquartile range.
- 16th April 1995Write the recurring decimal 0.4949... as a fraction in its simplest form.
- 17th April 1995Factorise x^2 - 8x + 15.
- 18th April 1995x : y = 3 : 8. Write y in terms of x.
- 19th April 1995Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 1026 cm^3. Work out the volume of the smaller.
- 20th April 199523 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st April 1995A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 22nd April 1995A bill is £696 including VAT at 20%. Work out the amount before VAT.
- 23rd April 1995Work out the equation of the line parallel to y = 4x + 7 that passes through (5, 10).
- 24th April 1995A price rises by 20% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 25th April 1995A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 12 cm. Work out the other shorter side.
- 26th April 19951 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th April 1995A histogram class is 10 units wide and contains 30 values. Work out the frequency density.
- 28th April 1995A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 29th April 1995A line has equation y = -2x + 1. Work out the gradient of any line perpendicular to it.
- 30th April 1995y is inversely proportional to x. When x = 8, y = 12. Work out y when x = 3.