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KJSEA Sample Grade 7 Math Exam
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Lowest Common Multiple - correct answerThe Lowest number in the two numbers time tables. ie, 18 and 24, so they both have 72 which is the lowest common multiple. Prime Factors - correct answerPrime numbers that multiply to achieve a chosen number. ie, 110 > 2 x 55, 55 isn't prime so do the same, 55 > 11 x 5, both prime, so prime factors of 110 are, 2 x 5 x 11. (you always have to divide the number by a chosen prime, 2 is a good choice) Highest Common Factor - correct answerThe highest factor of two numbers. ie, 28 and 16, they both have 2 and 4, 4 is higher so that is the highest common factor. BIDMAS - correct answerBrackets, Indices, Division, Multiplication, Addition, Subtraction. Adding and Subtracting Fractions - correct answerThe denomination has to be the same. If it is different find the lowest common multiple of the denominators. 5/6 - 3/ =5/6 x 2/2 - 3/4 x 3/3 = 10/12 - 9/12 = 1/12. Reciprocal - correct answerThe number divided into 1. reciprocal of 2 is 1/2 reciprocal of a fraction is the fraction turned upside down 3/6 > 6/3. Negative reciprocal - correct answerThe same as reciprocal but putting a negative in front when there isn't one and taking one away when there is one. Increasing by a percentage - correct answerMultiply the number by 1 + (the percentage increase / 100) ie, increase 6£ by 5%, 6 x 1.05 = £6. Decrease by a percentage - correct answerMultiply the the number by 1 - (the percentage decrease / 100) ie, decrease £8 by 7%, 8 x 0.93 = £7. Mode - correct answerThe number that comes up the most (most likely value, non numerical ie weather patterns.) Median - correct answerThe number directly in the middle (Data with extreme value) Mean - correct answerThe average (Balanced spread of values) The range - correct answerThe difference between the largest value and smallest value Stem and leaf diagram - correct answer
How to find the mean from grouped frequency tables - correct answerFind the midpoint value and multiply that by the frequency, add up all of these results to get a total, add up all of the frequencies, frequency x midpoint total divided by frequency total. How to find the nth term of a sequence - correct answerFind the difference between the numbers, that is the number that goes before the n and then the number you add to the nth term is the difference between the difference in values and the first value. Nth term of a square numbers sequence and cubed numbers sequence. - correct answern squared and n cubed Nth term of triangular numbers - correct answer1/2n(n+1) Nth term of a geometric sequence - correct answera sequence where the terms are multiplied by the same number can be expressed a x r to the power of n-1. a= first term value r= multiplier what is a quadratic sequence? - correct answerWhere the second difference (the difference between the original differences) is the same. Trapezium angles - correct answerThe sum of the two angles at the end of a trapezium equal 180 degrees Bearings - correct answerBearings are from the North round in a clockwise rotation Plans and Elevations - correct answerThe plan is the top down view and the elevation is the side on view. Prime numbers are - correct answernumbers who have 1 and itself as factors