Daily Practice · Higher
January 1995 - Higher 5-a-day
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The batch download puts all 5 tiers' January 1995 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1995
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1995A right-angled triangle has sides 10 cm, 24 cm and 26 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
- 2nd January 199513 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd January 199545 newts are marked and released. Later 60 are caught, of which 5 are marked. Estimate the population.
- 4th January 1995Work out 25^(3/2).
- 5th January 1995A region is defined by y < 5x - 8. Should the boundary line be solid or dashed, and why?
- 6th January 1995y is directly proportional to x. When x = 3, y = 36. Work out y when x = 10.
- 7th January 1995The point (2, -6) is enlarged by scale factor -3 about the centre (-1, 3). Write down the coordinates of the image.
- 8th January 19954 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th January 1995A cumulative frequency graph is drawn for 192 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 10th January 1995Write sqrt(27) in the form a sqrt(b), where b is as small as possible.
- 11th January 1995Factorise x^2 + 3x - 54.
- 12th January 1995A town's population is 23500 and grows by 6% each year. Work out the population after 5 years, to the nearest whole number.
- 13th January 1995Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 112 cm^3. Work out the volume of the smaller.
- 14th January 199517 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th January 1995A box plot has a minimum of 11 and a maximum of 31. Work out the range.
- 16th January 1995A meal deal has 9 mains, 8 sides and 6 drinks. How many different meals are possible?
- 17th January 1995Work out the equation of the line parallel to y = -3x + 3 that passes through (4, -20).
- 18th January 1995A block has volume 145 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 19th January 1995A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 12 cm. Work out the other shorter side.
- 20th January 19954 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st January 1995A box plot has minimum 2, lower quartile 4, median 12, upper quartile 15 and maximum 20. Work out the interquartile range.
- 22nd January 1995A mass is 32 kg, correct to the nearest whole number. Write down the upper bound.
- 23rd January 1995A line has equation y = -4x + 4. Work out the gradient of any line perpendicular to it.
- 24th January 1995x : y = 7 : 9. Write y in terms of x.
- 25th January 1995ABCD is a cyclic quadrilateral. Angle ABC is 56°. Work out angle ADC.
- 26th January 199514 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th January 1995A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 28th January 1995Write 2^-2 as a fraction.
- 29th January 1995For the curve y = 60/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 30th January 1995A price rises by 25% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 31st January 1995A, B and C are points on a circle with centre O. Angle AOC is 56°. Work out angle ABC, where B is on the major arc.