math solution.pdf

New Lower Secondary Curriculum SCORING GUIDE © 2024 Uganda National Examinations Board 456/1 MATHEMATICS UGANDA NATIONAL EXAMINATIONS BOARD Paper 1 2024 Uganda Certificate of Education MATHEMATICS Paper 1 40 Uniform = 350,000 – 87,500 = =8.94km 100 × 900,000/= = 262,500/= 2 100 × 900,000/= 1(a) Distance from home to school using the direct route. 100−60 =√(80) (Direct distance)2 = 42+82 Total amount to be paid = 360,000+ 262,500 Direct distance = √(42+82) =√(16 + 64) = 622,500/= = 360,000/= (b)(i) school fees = For x + y = 20 x | 0 | 1 | y | 0 | 2 For y = 2x Each instalment = Second instalment =900,000 – 600,000 x≥0, y≥0 2 First instalment = (c)(ii) Recommended payment plan: 3 × 900,000/= (c)(i) Payment plan 1 Payment plan 2 x + y ≤ 20 3 1 x 0 1 y 0 2 (b)(ii) Conclusion: yes, the guardian will afford the school since the total amount to be paid is less than the 700,000/= s/he has budgeted for school expenses. 3 × 900,000/= =300,000/= y ≥ 8 2. Let x be the number of cows to be sold and y the number of goats to be sold. x ≤ 10 x | 0 | 20 | y | 20 | 0 Sales =1,500,000x + 200,000y Reason: y < 2x = 300,000/= = 600,000/= A graph showing the feasible region 4 The assemble start time should be 37 minutes from 7:30AM since the average time of arrival of the students after 7:30 AM is 37 minutes. That is, the assembly should start at 8:07 AM. Note: Accept calculation of any measure of central tendency followed by a relevant/appropriate explanation. the highest amount of money). That is,