REIGATE GRAMMAR SCHOOL 13+ Paper 1 by smoothmaths | Oct 17, 2020 | 0 comments Welcome to your REIGATE GRAMMAR SCHOOL 13+ Maths - Calculator Entrance Examination 1. Given that a =\[\sqrt{b^{3} - 25c}\] find; a) a when b= 15 and c = 12615202530none of the above b) b when a = −4 and c = 8613.51412None of the above 2. You are given that the volume of a cone is equal to the area of the circular base multiplied by the height and divided by 3. Given that the radius of this base is 4cm and the height is 8cm, find the volume of this cone. Round your answer to the nearest whole number.134\[cm^{3}\]135\[cm^{3}\]130 \[cm^{3}\]133 \[cm^{3}\]None of theabove 3. In Pokemon Go, the cost of an incense and 3 Lure Modules is 290 pokecoins. This information can be written as: I + 3L = 290 a) The cost of 3 Incense and 2 Lure Modules is 310 pokecoins. Write down an equation to represent this information.3I + 2L = 3102I + 3L = 310I + 2L = 3105L = 310None of the above b) Assuming all incense are the same price and all lure modules are the same price, find the cost of each incense and each lure module.1 Inscense = 50pokecoins & 1 Lure Modules =80pokecoins1 Inscense = 40pokecoins & 1 Lure Modules =60pokecoins1 Inscense = 60pokecoins & 1 Lure Modules =90pokecoins1 Inscense = 80pokecoins & 1 Lure Modules =50pokecoinsNone of the above 4. Solve the following equations. Simplify your answers fully. a) 6x = 3x - (16 - x )-8-2-12-4-16 b) \[\frac{5x}{4}\] - \[\frac{4x}{3}\] = 2148-241216 c) \[\frac{3x}{5}\] = \[\frac{2}{9}\]\[\frac{10}{27}\]\[\frac{2}{15}\]\[\frac{27}{10}\]\[\frac{10}{9}\]None of the above d) \[\frac{15}{x}\] = 40\[\frac{5}{8}\]\[\frac{3}{8}\]\[\frac{1}{8}\]None of the above 5. Look at the pattern below Total Row 1 1 =1 =\[1^{2}\] Row 2 1 + 3 =4 =\[2^{2}\] Row 3 1 + 3 + 5 =9 =\[3^{2}\] Row 4 1 + 3 + 5 + 7 =16 =\[4^{2}\] Row 5 %BLANK% %BLANK% %BLANK% a) In the table above complete Row 5;36, \[6^{2}\]25, \[5^{2}\]49, \[7^{2}\]None of the Above16, 42 b) Which row will have a total of 121?Row 10Row 12Row 11Row 8Row 7Row 13 c) What is the total of row 256? 67600506256553662500None of the Above 6. A positive whole number less than 100 has a remainder 2 when it is divided by 3, a remainder of 3 when it is divided by 4, and a remainder 4 when it is divided by 5. What is the remainder when this number is divided by 7? [You may use the following number grid to help you find the answer]46534 7. At a holiday camp, the ratio of boys to girls is 3:4 and the ratio of girls to adults is 5:7. What is ratio of children to adults at the camp?4:55:75:4Both b & c3:4 8. In a sequence of positive integers, every term after the first two terms is the sum of the previous terms in the sequence. If the fifth is 2016, what is the maximum possible value of the first term?1000101010051006 9. It is estimated that the population of Ireland goes up by 1.5% every year. In January 2016, the population of Ireland was 4, 595, 000. a) What is the expected population of Ireland in January 2017?466392545260756892504595000Non of the above b) What is the expected population of Ireland in January 2019 to the nearest whole number?4526075459500048048924663925None of the above c) What is the expected population of Ireland in 2050 to the nearest whole number?4663925967358876230088637621500None of the above Time is Up! Time's up