Practice IB Mathematics Applications & Interpretation (AI) Topic SL 1.1—using Standard Form with authentic exam-style questions for both SL and HL students. This question bank focuses on the exact syllabus content for SL 1.1—using Standard Form and mirrors Paper 1, 2, 3 style where relevant.
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A spacecraft travels at a constant speed of 60 000 kilometres per hour. The distance from Earth to a passing comet is 64.8 million km.
Calculate the time, in days, it takes for the spacecraft to reach the comet.
A company produces 7240 million waffle cones, where one million . A designer models one cone as a cone with radius 5 cm and height 9 cm to calculate its approximate volume.
Express the number of cones in the form , where and .
Determine the designer's estimate of the cone's volume in cm.
If the actual volume of the cone is measured as cm, calculate the percentage error of the designer's volume estimate.
A manufacturer produces 6835 million paper cups, where one million . A designer models one cup as a cone with radius 4.5 cm and height 11 cm to calculate its approximate volume.
Express the number of cups in the form , where and .
Determine this estimate of the cup's volume in cm.
If the actual volume of the cup is measured as cm, calculate the percentage error of the designer's volume estimate.
An interplanetary probe travels at a constant speed of 72 000 kilometres per hour. The distance from Earth to an asteroid is 86.4 million km.
Calculate the time, in days, it takes for the probe to reach the asteroid.
The average speed of a space probe is kilometres per hour. The distance from Earth to Neptune is approximately billion km.
Calculate the time, in years, it takes for the space probe to travel from Earth to Neptune. (Assume )