Round 1 β Algebra Gate Takshay Simplify fully: 5 π₯ + 3 β 2 π₯ + 9 Aanjaneya Simplify fully: 7 π¦ β 4 + 3 π¦ + 11 Answers β’ Takshay: 3 π₯ + 12 β’ Aanjaneya: 10 π¦ + 7 Round 2 β Equation Strike Takshay Solve: 4 π₯ + 7 = 31 Aanjaneya Solve: 5 π¦ β 9 = 26 Answers β’ Takshay: 4 π₯ = 24 π₯ = 6 β’ Aanjaneya: 5 π¦ = 35 π¦ = 7 Round 3 β Percentage Tower Takshay A gaming headset costs Β£48. It is reduced by 25%. Find the sale price. Aanjaneya A jacket costs Β£72. It is reduced by 15%. Find the sale price. Answers β’ Takshay: 25% of 48 = 12 48 β 12 = Β£36 β’ Aanjaneya: 15% of 72 = 10 8 72 β 10 8 = Β£61 20 Round 4 β Ratio Forge Takshay The ratio of blue crystals to red crystals is: 3 : 5 There are 64 crystals altogether. How many are red? Aanjaneya The ratio of attack points to defence points is: 4 : 7 There are 99 points altogether. How many are defence points? Answers β’ Takshay: 3 + 5 = 8 64 Γ· 8 = 8 5 Γ 8 = 40 40 red crystals β’ Aanjaneya: 4 + 7 = 11 99 Γ· 11 = 9 7 Γ 9 = 63 63 defence points Shop 1 β Equation Armory text TAKSHAY HP: ____ / 45 Gold: ____ Upgrade purchased: ______________________________ AANJANEYA HP: ____ / 45 Gold: ____ Upgrade purchased: ______________________________ Round 5 β Angle Ambush Takshay Angles on a straight line are: ( 3 π₯ + 15 ) β and ( 5 π₯ + 5 ) β Find π₯ Aanjaneya Angles around a point are: ( 4 π¦ + 10 ) β , 110 β , 70 β Find π¦ Answers β’ Takshay: 3 π₯ + 15 + 5 π₯ + 5 = 180 8 π₯ + 20 = 180 8 π₯ = 160 π₯ = 20 β’ Aanjaneya: 4 π¦ + 10 + 110 + 70 = 360 4 π¦ + 190 = 360 4 π¦ = 170 π¦ = 42 5 Round 6 β Coordinate Canyon Takshay Point π΄ is at: ( β , 34 ) It is translated by the vector: ( 5 β 6 ) Write the coordinates of the new point. Aanjaneya Point π΅ is at: ( 7 , β 2 ) It is translated by the vector: ( β 9 4 ) Write the coordinates of the new point. Answers β’ Takshay: ( β , 3 + 5 4 β 6 ) = ( 2 , β 2 ) β’ Aanjaneya: ( 7 , β 9 β 2 + 4 ) = ( β , 22 ) Round 7 β Probability Portal Takshay A bag contains: β’ 5 red counters β’ 3 blue counters β’ 2 green counters One counter is chosen at random. Find the probability of choosing a counter that is not blue Give your answer in its simplest form. Aanjaneya A spinner has 12 equal sections: β’ 4 yellow β’ 3 red β’ 5 blue Find the probability of landing on yellow or red Give your answer in its simplest form. Answers β’ Takshay: Not blue = 5 + 2 = 7 π ( not blue ) = 7 10 β’ Aanjaneya: Yellow or red = 4 + 3 = 7 π ( yellow or red ) = 7 12 Round 8 β Area Arena Takshay A rectangle has length 12 cm and width 7 cm. A square of side 3 cm is cut out from one corner. Find the remaining area. Aanjaneya A rectangle has length 15 cm and width 9 cm. A smaller rectangle of length 5 cm and width 4 cm is cut out. Find the remaining area. Answers β’ Takshay: 12 Γ 7 = 84 3 Γ 3 = 9 84 β 9 = 75 cm 2 β’ Aanjaneya: 15 Γ 9 = 135 5 Γ 4 = 20 135 β 20 = 115 cm 2 Shop 2 β Equation Armory text TAKSHAY HP: ____ / 45 Gold: ____ Second upgrade purchased: ________________________ AANJANEYA HP: ____ / 45 Gold: ____ Second upgrade purchased: ________________________ Round 9 β Function Fortress Takshay The rule is: π¦ = 3 π₯ β 2 Complete the table. π₯ 1 4 7 π¦ ? ? ? Aanjaneya The rule is: π¦ = 4 π₯ + 1 Complete the table. π₯ 0 3 6 π¦ ? ? ? Answers β’ Takshay: π¦ = 1 , 10 , 19 β’ Aanjaneya: π¦ = 1 , 13 , 25 Round 10 β Boss Round: Simultaneous Shadows Correct answer gives 5 Gold Winner rolls two damage dice Boss Key may be used here. Takshay Two pens and one notebook cost Β£11. One pen and one notebook cost Β£7. Find the cost of one pen. Aanjaneya Three game tokens and one key cost Β£17. One game token and one key cost Β£9. Find the cost of one game token. Answers β’ Takshay: 2 π + π = 11 π + π = 7 Subtract: π = 4 One pen costs Β£4. β’ Aanjaneya: 3 π‘ + π = 17 π‘ + π = 9 Subtract: 2 π‘ = 8 π‘ = 4 One token costs Β£4. Round 11 β Final Boss: The Equation Titan Correct answer gives 5 Gold Winner rolls two dice This is the final attack round. Takshay A number is multiplied by 6 and then 11 is added. The answer is 53. Find the number. Aanjaneya A number is multiplied by 7 and then 9 is subtracted. The answer is 40. Find the number.