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Consider the finite linear pattern: 20 ; 17 ; 14 ;… ; -103 3.1 Write down the 4th term of the pattern. (1) 3.2 Determine the expression for the nth term. (2) 3.3 Calculate the number of terms in the sequence. (2) 3.4 Which term is the first to have a negative value? (3) 3.5 … Read more
4.1 The following number patter is given: 13 ; 27 ; 45 ; 67 ; … 4.1.1 Is this a quadratic number pattern? Justify your answer with relevant calculations. (2) 4.1.2 Determine the general term, Tn , of the quadratic number pattern. (4) 4.1.3 Calculate the value of T100. (2) 4.1.4 The first difference between … Read more
Given the linear pattern: -5 ; 0 ; 5 ; … 3.1 Determine the general term, Tn , of the linear pattern. (2) 3.2 Calculate the value of T12 . (2) 3.3 Which term in the patter has a value of 130? (2) [6]
2.1 Simplify fully, WITHOUT using a calculator: (4) 2.2 Solve for x: 2.2.1 (3) 2.2.2 (3) 2.2.3 (5) 2.3 WITHOUT using a calculator, show that simplifies to (5) [20]
TEXT E 4.1 Refer to FRAME 1. 4.1.1 How do you know that Calvin will most probably not eat all his food? (1) 4.1.2 Write the contraction ‘what’s’ out in full. (1) 4.2 Choose the correct answer to complete the following sentence: A ‘vegetarian’ as mentioned in FRAME 2, is a person who … A … Read more
In the circuit diagram below, the resistance of the battery, ammeter and connecting wires are negligible. 11.1 Explain the meaning of the following: A current of 5 A (2) 11.2 Calculate the effective resistance of the parallel resistors. (3) 11.3 Which one of the voltmeters, V1 or V2, will show a reading if the switch … Read more
The diagram below shows two small identical spheres, P and Q, on insulated stands. The charge on sphere P is -3 × 10-6 C and the charge on sphere Q is unknown. 10.1 Calculate the number of electrons in excess on sphere P. (3) The two spheres are brought into contact and are then returned … Read more
A compass is used to determine the poles of a magnet. The compass is placed in different positions around the magnet, as shown below. The dark arrow indicates the north pole of the compass. 9.1 Explain the term ferromagnetic materials. (2) 9.2 Is X a NORTH pole or a SOUTH pole? (1) 9.3 At which … Read more