Answer booklet - Skills for Life Improvement Programme
Answer booklet - Skills for Life Improvement Programme
Answer booklet - Skills for Life Improvement Programme
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<strong>Skills</strong> <strong>for</strong> <strong>Life</strong> <strong>Improvement</strong> <strong>Programme</strong>Numeracy Minimum CoreCarousel<strong>Answer</strong> Booklet<strong>Skills</strong> <strong>for</strong> <strong>Life</strong> <strong>Improvement</strong> <strong>Programme</strong> 1Numeracy Minimum CoreTrainee pack – TE 02 Carousel answer <strong>booklet</strong>
<strong>Skills</strong> <strong>for</strong> <strong>Life</strong> <strong>Improvement</strong> <strong>Programme</strong>Approximation Game38.5 mm 4 cm2002 mm 2m495 cm 5m0.495 m50 cm38.5 cm 40 cm2002 m 2 km0.795 cm 8 mm385 m 400 m3.85 km 4 km0.795 km No matchNo match1 m<strong>Skills</strong> <strong>for</strong> <strong>Life</strong> <strong>Improvement</strong> <strong>Programme</strong> 2Numeracy Minimum CoreTrainee pack – TE 02 Carousel answer <strong>booklet</strong>
<strong>Skills</strong> <strong>for</strong> <strong>Life</strong> <strong>Improvement</strong> <strong>Programme</strong>Dimensions1D 2D 3Dkmkm 2 km 3Has lengthHas length and widthHas length, widthand depthMeasured in feet andinchesA perimeterMeasured in squarefeet and squareinchesWall coverage of alitre paintHas volumeMeasured in cubicfeet and cubicinchesA line A square A cubeWashing lineMeasured in metres andcentimetresAn areaMeasured in squaremetres and squarecentimetresCapacity of arefrigeratorMeasured in cubicmetres and cubiccentimetres<strong>Skills</strong> <strong>for</strong> <strong>Life</strong> <strong>Improvement</strong> <strong>Programme</strong> 3Numeracy Minimum CoreTrainee pack – TE 02 Carousel answer <strong>booklet</strong>
<strong>Skills</strong> <strong>for</strong> <strong>Life</strong> <strong>Improvement</strong> <strong>Programme</strong>Sorting DataQualitativeThe highesteducationalqualification gainedA person’s religion.ContinuousThe height of a roomThe temperature of aroomQuantitativeDiscreteThe number of children ina familyThe number of rainy daysin NovemberColour of hair Length of a person’s foot Size of shoeMake of car The speed of a car A person’s age<strong>Skills</strong> <strong>for</strong> <strong>Life</strong> <strong>Improvement</strong> <strong>Programme</strong> 4Numeracy Minimum CoreTrainee pack – TE 02 Carousel answer <strong>booklet</strong>
<strong>Skills</strong> <strong>for</strong> <strong>Life</strong> <strong>Improvement</strong> <strong>Programme</strong>Common Fractions/Decimal Fractions/PercentagesEquivalences0.9356106875% 100% 1.0 69% 0.69 40%251812.5%3100.3 0.375380.03310017.5%0.175 50%120.77100.25 25%130.3’ 0.011%4580% 0.1110150.22366.6’%910<strong>Skills</strong> <strong>for</strong> <strong>Life</strong> <strong>Improvement</strong> <strong>Programme</strong> 5Numeracy Minimum CoreTrainee pack – TE 02 Carousel answer <strong>booklet</strong>
<strong>Skills</strong> <strong>for</strong> <strong>Life</strong> <strong>Improvement</strong> <strong>Programme</strong>Calculating Temperature Change – Using negative numbersAThe temperaturechange;from 3° to 8°BThe temperaturechange;from 9° to 4°CThe temperaturechange;from –9° to –4°DThe temperaturechange;from –1° to –6°EThe temperaturechange;from –2° to 3°FThe temperaturechange;from 2° to –3°GThe temperaturechange;from 0° to 5°HThe temperaturechange;from –5° to 0°A, C, E, G, H +5°B, D, F –5°<strong>Skills</strong> <strong>for</strong> <strong>Life</strong> <strong>Improvement</strong> <strong>Programme</strong> 6Numeracy Minimum CoreTrainee pack – TE 02 Carousel answer <strong>booklet</strong>
<strong>Skills</strong> <strong>for</strong> <strong>Life</strong> <strong>Improvement</strong> <strong>Programme</strong>Percentages1) Percentage IncreaseA friend was earning a salary of £21 920 and after a pay rise in January 2004is now earning £22 580.What percentage increase is this?Find increase£22 580 – £21 920 = £660Write increase as fraction of originalamount66021920Find percentage increase bymultiplying by 100660 × 100 = 3%21920(2) ‘Backwards’ PercentageIn a recent sale, there was a 30% reduction on all goods. What was theoriginal price of a jacket sold in the sale <strong>for</strong> £38.50?£38.50 represents the amount after30% reduction£38.50 = 70%If 70% represents £38.501% represents£38.5070100% represents the original price£38.5070× 100= £55.00<strong>Skills</strong> <strong>for</strong> <strong>Life</strong> <strong>Improvement</strong> <strong>Programme</strong> 7Numeracy Minimum CoreTrainee pack – TE 02 Carousel answer <strong>booklet</strong>
<strong>Skills</strong> <strong>for</strong> <strong>Life</strong> <strong>Improvement</strong> <strong>Programme</strong>3) Adding VAT (value added tax)Show a non-calculator method to add VAT (17.5%) to a building job priced at£28010% £28 = £285% £28 = £142½% £28 = £ 7 +17½% £28 = £4910% £28 = £2820% £28 = £561% £28 = £2.802% £28 = £5.60½% £28 = £1.402½% £28 = £7.0017½% = 20% – 2½%= £56 – £7= £49<strong>Skills</strong> <strong>for</strong> <strong>Life</strong> <strong>Improvement</strong> <strong>Programme</strong> 8Numeracy Minimum CoreTrainee pack – TE 02 Carousel answer <strong>booklet</strong>
<strong>Skills</strong> <strong>for</strong> <strong>Life</strong> <strong>Improvement</strong> <strong>Programme</strong>Working with scale• The three graphs represent the same in<strong>for</strong>mation. Explain why theylook so different.• The scales are different. The actual data only ranges from 513– 545 learners but the three graphs cover different ranges ofdata and the scale increments vary greatly.• Graph 1 covers the data range 510 – 550 and the scale hasincrements of 5 learners. There<strong>for</strong>e, small changes can bemade to look more significant.• Graph 2 covers the data range 450 – 600 and the scale has incrementsof 25 learners.• Graph 3 covers the data range 0 - 600 and the scale hasincrements of 100 learners. There<strong>for</strong>e, large changes can bemade to look less significant.• Which graph might be used to:o argue <strong>for</strong> the need <strong>for</strong> redundancies at the college?• Graph A makes it look as though there has been a hugedrop in the number of learners.o include in a college brochure?• Graph C might be used to disguise the fact that there hasbeen a drop in learner numbers.• Give a context in which graph A could give a false impression of thefacts• A small decrease in prices could be made to look like alarge decrease.• Give a context in which graph C could give a false impression of thefacts• A significant reduction in the number of trains on timecould be made to look like there has been no significantchange.<strong>Skills</strong> <strong>for</strong> <strong>Life</strong> <strong>Improvement</strong> <strong>Programme</strong> 9Numeracy Minimum CoreTrainee pack – TE 02 Carousel answer <strong>booklet</strong>
<strong>Skills</strong> <strong>for</strong> <strong>Life</strong> <strong>Improvement</strong> <strong>Programme</strong>Standard <strong>for</strong>m2567 2.567 x 10 32000000000 2.0 x 10 92678589 2.678589 x 10 65893.2 5.8932 x10 38306000 8.306 x 10 61769000000 1.769 x 10 928000 2.8 x 10 45000000 5.0 x 10 658.9 5.89 x 10 183067 8.3067 x 10 426745.9 2.67459 x 10 435672080 3.567208 x 10 70.589 5.89 x 10 -10.0000593 5.93 x 10 -50.0028 2.8 x 10 -30.00256 2.56 x 10 -30.026 2.6 x 10 -20.00083 8.3 x 10 -4<strong>Skills</strong> <strong>for</strong> <strong>Life</strong> <strong>Improvement</strong> <strong>Programme</strong> 10Numeracy Minimum CoreTrainee pack – TE 02 Carousel answer <strong>booklet</strong>
<strong>Skills</strong> <strong>for</strong> <strong>Life</strong> <strong>Improvement</strong> <strong>Programme</strong>Shapes and SolidsSolid with 12edgesCuboidA solid with fourtriangular facesTetrahedronThis quadrilateralhas all its anglesequal but not itssidesRectanglePart of a circle cut outby two radiiSectorA quadrilateralwith 4 axes ofsymmetrySquareA solid with a regularcross sectionPrismorConeA closed shapemade from onecurved line andone straight lineSegmentThe regular 3-sidedpolygonEquilateraltriangleA quadrilateralwith only oneaxis of symmetryKiteA solid with a circularcross-sectionConeorCylinderNo match Trapezium ParallelogramRight-angledtriangleRhombusA cone is included in the final definition, as it does not say a ‘regular’ circular crosssection.A cylinder is included in the prism definition as it is a type of prism, though thedescription given is general.Note the definition of the rhombus is a reverse of that <strong>for</strong> the rectangle i.e. it is aquadrilateral with all its sides equal, but not its angles.<strong>Skills</strong> <strong>for</strong> <strong>Life</strong> <strong>Improvement</strong> <strong>Programme</strong> 11Numeracy Minimum CoreTrainee pack – TE 02 Carousel answer <strong>booklet</strong>
<strong>Skills</strong> <strong>for</strong> <strong>Life</strong> <strong>Improvement</strong> <strong>Programme</strong>π isDescriptions of πThe following are trueπ is a constantπ is a ratioπ is a numberπ is a Greek letterπ is irrationalThe following are approximations of π3.14159265363227The following are false descriptions of πCircumferenceAreaCircle<strong>Skills</strong> <strong>for</strong> <strong>Life</strong> <strong>Improvement</strong> <strong>Programme</strong> 12Numeracy Minimum CoreTrainee pack – TE 02 Carousel answer <strong>booklet</strong>
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