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8.2.2 Range

February 5, 2022August 23, 2020 by

(A) Range of Ungrouped Data Example 1: Find the range for the set of data 2, 4, 7, 10, 13, 16 and 18. Solution: Range = largest value – smallest value = 18 – 2 = 16

8.2.1a Mean 1. The mean of the data is an average value obtained by using the formula: Mean= Total data values Number of data (A) Ungrouped Data Example 1 (a) Find the mean for the set of data 2, 4, 7, 10, 13, 16 and 18. (b) A value of xis added into the above set of data, the … Read more

7.3.4 Graphs of Motion, SPM Paper 2 (Long Questions)

February 9, 2022August 13, 2020 by

Question 9:Diagram below shows the speed-time graph for the movement of an object for a period of 34 seconds.(a) State the duration of time, in seconds, for which the object moves with uniform speed.(b) Calculate the rate of change of speed, in ms-2, of the object for the first 8 seconds.(c) Calculate the value of … Read more

6.4.1 Linear Inequalities in Two Variables, SPM Paper 2 (Long Questions)

January 25, 2022June 25, 2020 by

Question 1:On the graph in the answer space, shade the region which satisfies all three inequalities y > –2x + 8, y ≥ x + 1 and y ≤ 7.Answer:Solution: Question 2:On the graph in the answer space, shade the region which satisfies all three inequalities 2x + y ≥ 2, x + y < … Read more

4.5.5 Operations on Sets, SPM Paper 2 (Long Questions)

February 9, 2022May 4, 2020 by

Question 9:The Venn diagram in the answer space shows sets E, F and G such that the universal set, ξ = E ∪ F ∪ G . On the diagrams in the answer space, shade ( a ) E ‘ ∩ G ‘ ( b ) ( E ∩ F ) ‘ ∪ G ‘ … Read more

4.5.4 Operations on Sets, SPM Paper 2 (Long Questions)

January 25, 2022May 3, 2020 by

Question 7:The Venn diagrams in the answer space shows sets P, Q and R such that the universal set, ξ=P∪Q∪R .On the diagrams in the answer space, shade set(a) P ∩ Q,(b) P ‘ ∩Q∪R Solution: (a) P ∩ Q(b) P ‘ ∩Q∪R Question 8:The Venn diagrams in the answer space shows sets P, Q … Read more

4.5.3 Operations on Sets, SPM Paper 2 (Long Questions)

January 25, 2022May 2, 2020 by

Question 5:The Venn diagrams in the answer space shows sets P, Q and R such that the universal set, ξ=P∪Q∪R On the diagrams in the answer space, shade(a) P ∩ Q,(b) Q∩( P ‘ ∪R). Solution: (a) P ∩ Q(b) Q∩( P ‘ ∪R). Question 6:The Venn diagrams in the answer space shows sets P, … Read more

3.7.5 Logical Reasoning, SPM Paper 2 (Long Questions)

February 9, 2022March 28, 2020 by

Question 10:(a)(i) State whether the following compound statement is true or false. All straight lines have positive gradients.(ii) Write down the converse of the following implication.If x = 5, then x2 = 25.(b) Write down Premise 2 to complete the following argument:Premise 1: If Q is an odd number, then 2 × Q is an … Read more

3.7.4 Logical Reasoning, SPM Paper 2 (Long Questions)

February 9, 2022March 27, 2020 by

Question 8:(a) State whether the following sentence is a statement or not a statement. x + 7 = 9(b) Complete the following compound statement by writing the word ‘or’ or ‘and’ to form a true statement.23 = 6 …… 5 × 0 = 0(c) Write down Premise 2 to complete the following argument:Premise 1: All … Read more

2.2.2 Number Bases, SPM Paper 1 (Short Questions)

January 25, 2022February 16, 2020 by

Question 8: Express 110101012 as a number in base eight. Solution: Question 9: Express 100001102 as a number in base eight. Solution: Question 10: Given h 8 = 10111 2 , where h is an integer, find the value of h. Solution: Question 11: Express each of the following as a number in base two. (a) 26 + 24 + 1 (b) 25 + 23 … Read more