Monfort Sec Sch P1 2021

3 Answer all the questions 1 By writing each number correct to I significant figure, estimate the value of Jm:i-2.613 2 l.734x 1.043 • Answer .. ..... ...... .... .... .... [2] 2 Find the smallest integer y satisfying 4y > -12 . Answer ..... .............. ....... .. [2] 3 (a) Given that (a, 3) lies on the line 2y = x-3 , find the value ofa. Answer a= .......... ... ..... ....... . [l] (b) Find the coordinates of they-intercept of the line 2y = x-3 . Answer ( ............ , ........... .... ) [l]

4 4 The point R lies on the PQ. PR: RQ= 3: 7. (a) Write PR as a fraction of PQ. Answer ... ........... ............ [l] (b) PR is 15 cm. Calculate PQ. Answer PQ = ........... .... cm[l] 5 S. 1·r 6x 2 y 2x 1mp l y --+-. 16 4y Give your answer as a single fraction in its simplest form. Answer ......... ........... ...... [2]

6 5 P is a point (I, 4) and Q is the point (a, 3 ). The gradient of the line PQ is .!. . 4 Find the value of a. Answer a = .......................... [2] 7 The cost of taking a group of students to an Arts Museum can be calculated from the information given in the table below. Number of students Cost per student Less than IO $6 IO to 19 $5.50 20 to 29 $5 • I adult enters free for every 10 students Find the cost for a group of 26 students and 4 teachers. Cost per paying adult $9 $8 $7 Answer$ .......................... . [2]

8 9 6 . . h O le 63° and radius 8 cm. Calculate the arc length of a sector of a circle wit a g / \ 63 ° \ \ 8 cm / (a) (b) Answer ...... ... ... ............. .. ... cm [2] Find obtuse angle B such that sin B O = 0.6. 2.8 280% 20 7 Answer B = ......... .... .. ... ....... ... [I] 2.87 Write these numbers in order, starting with the smallest. Answer .......... . , ............. , ............. , ...... ........ (21 smallest

7 10 · A group of students were asked to sign up for their favourite holiday activity. The results are shown in the bar graph. pottery swimming guitar archery ballet 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Number of Sign~Ups (a) State the most popular activity. Answer .. ......... ...... ........ ... ...... [l] (b) How many more students chose swimming than ballet? Answer .... .. .. .......................... [l] (c) What is the total number of students in the group? Answer ..... ..... ...... .. ................ [l]

11 8 l (a) . A · ng a scale factor - • On the grid, draw a reduction _of Figure us1 2 i-- 1 (--- (b) Figure C is an enlargement of Figure A using a scale factor of x. The horizontal length of Figure Chas a length of 8 units. What is the scale factor x? Answer ........... .. .......... .... ... .. .... [l]

12 (a) (b) Simplify 7a-l2b-3a+10b. Simplify x + 2 + 2x 5 3 . 9 Answer ........................... .... .... [!] Answer .... .. .... ..... .. .... ... ........... [2] 13 A map is drawn to a scale of l : 500 000. (a) On the map, the perimeter of a reservoir is represented by a length of 22.8 cm. Calculate the actual perimeter of the reservoir, giving your answer in kilometres. Answer ....... .. ... .. ............. .... km [I] (b) The actual area of a plantation is 460 km 2 • Calculate the area on the map which represents the area of the plantation. Answer ... .. .... .... ... ............ cm 2 [2]

14 10 . . mall for a 24-hour period. The graph shows the parking charges m a shopping Cost of parking (S) 10 9 8 7 6 5 4 3 2 0 I/ , / / I' ,I V / "v I/ / 2 3 4 No. ofhours parlced (a) Complete the following sentence. 5 Customers enjoy free parking for the first minutes. ------- (b) How long did a customer park his car in the car park ifhe paid $6? [I] Answer ............................... hrs [I] (c) Find the cost of parking if a customer parked her car for 5.5 hours. Answer$ ......................... ... .. ... [I ] 15 Edwin took part in a race and ran an initial distance of900 mat an average speed of 6 km/h. After that, he cycled a further distance of 2 km in 12 minutes. Calculate his average speed for the whole race in km/h. Answer ...... .. .................. ... km/h [3]

11 16 Given that triangle ABC is similar to triangle PQR. C A 6cm B 4cm (a) Find angle PRQ . Answer angle PRQ = .... ..... .. ....... . 0 [I] (b) Find the length of BC. Answer BC = ........ ..... ...... ........ cm [2]

12 17 (a) Write 756 as a product of its prime · factors. Answer ................ ........................ [2] (b) What is the largest perfect cube that is a factor of 756? Answer ........................................ [l] (c) 840= 21 x3x5x7 Write down the highest common factor (HCF) of 756 and 840. Answer .................... ................... [I]