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Page 1 G e n e r a l I n s t r u c t i o n : T h i s q u e s t i o n p a p e r c o n t a i n s 8 q u e s t i o n s . W r i t e a n s w e r s n e a t l y a n d l e g i b l y . A l l t h e q u e s t i o n s a r e c o m p u l s o r y . M a r k s f o r e a c h q u e s t i o n a r e i n d i c a t e d a g a i n s t i t . 1 . a . I t h i n k o f a n u m b e r a n d s u b t r a c t f r o m i t . I m u l t i p l y t h e r e s u l t b y 8 a n d t h e r e s u l t I f i n a l l y o b t a i n i s 3 t i m e s t h e s a m e n u m b e r I t h o u g h t o f . T h e n u m b e r i s _ _ _ _ _ _ . ( 1 ) b . M u l t i p l i c a t i v e i n v e r s e o f i s _ _ _ _ _ _ _ _ _ _ _ _ . ( 1 ) S o l . ( a ) 4 ( b ) 2 . a . ( - 1 ) 1 1 2 × ( - 1 ) 1 1 3 = _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . ( 1 ) b . U s u a l f o r m o f 1 . 2 5 × 1 0 - 6 i s _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . ( 1 ) S o l . ( a ) - 1 ( b ) 0 . 0 0 0 0 0 1 2 5 3 . P r o d u c t o f t w o r a t i o n a l n u m b e r s i s I f o n e o f t h e m i s f i n d t h e o t h e r n u m b e r . ( 2 ) Page 2 G e n e r a l I n s t r u c t i o n : T h i s q u e s t i o n p a p e r c o n t a i n s 8 q u e s t i o n s . W r i t e a n s w e r s n e a t l y a n d l e g i b l y . A l l t h e q u e s t i o n s a r e c o m p u l s o r y . M a r k s f o r e a c h q u e s t i o n a r e i n d i c a t e d a g a i n s t i t . 1 . a . I t h i n k o f a n u m b e r a n d s u b t r a c t f r o m i t . I m u l t i p l y t h e r e s u l t b y 8 a n d t h e r e s u l t I f i n a l l y o b t a i n i s 3 t i m e s t h e s a m e n u m b e r I t h o u g h t o f . T h e n u m b e r i s _ _ _ _ _ _ . ( 1 ) b . M u l t i p l i c a t i v e i n v e r s e o f i s _ _ _ _ _ _ _ _ _ _ _ _ . ( 1 ) S o l . ( a ) 4 ( b ) 2 . a . ( - 1 ) 1 1 2 × ( - 1 ) 1 1 3 = _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . ( 1 ) b . U s u a l f o r m o f 1 . 2 5 × 1 0 - 6 i s _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . ( 1 ) S o l . ( a ) - 1 ( b ) 0 . 0 0 0 0 0 1 2 5 3 . P r o d u c t o f t w o r a t i o n a l n u m b e r s i s I f o n e o f t h e m i s f i n d t h e o t h e r n u m b e r . ( 2 ) S o l . p r o d u c t o f t w o r a t i o n a l n u m b e r s O n e n u m b e r S e c o n d n u m b e r = P r o d u c t ÷ O n e n u m b e r ? S e c o n d r a t i o n a l n u m b e r 4 . B y w h a t n u m b e r s h o u l d b e d i v i d e d s o t h a t t h e q u o t i e n t b e c o m e s 1 2 5 ? ( 2 ) S o l . L e t b e d i v i d e b y x o r Page 3 G e n e r a l I n s t r u c t i o n : T h i s q u e s t i o n p a p e r c o n t a i n s 8 q u e s t i o n s . W r i t e a n s w e r s n e a t l y a n d l e g i b l y . A l l t h e q u e s t i o n s a r e c o m p u l s o r y . M a r k s f o r e a c h q u e s t i o n a r e i n d i c a t e d a g a i n s t i t . 1 . a . I t h i n k o f a n u m b e r a n d s u b t r a c t f r o m i t . I m u l t i p l y t h e r e s u l t b y 8 a n d t h e r e s u l t I f i n a l l y o b t a i n i s 3 t i m e s t h e s a m e n u m b e r I t h o u g h t o f . T h e n u m b e r i s _ _ _ _ _ _ . ( 1 ) b . M u l t i p l i c a t i v e i n v e r s e o f i s _ _ _ _ _ _ _ _ _ _ _ _ . ( 1 ) S o l . ( a ) 4 ( b ) 2 . a . ( - 1 ) 1 1 2 × ( - 1 ) 1 1 3 = _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . ( 1 ) b . U s u a l f o r m o f 1 . 2 5 × 1 0 - 6 i s _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . ( 1 ) S o l . ( a ) - 1 ( b ) 0 . 0 0 0 0 0 1 2 5 3 . P r o d u c t o f t w o r a t i o n a l n u m b e r s i s I f o n e o f t h e m i s f i n d t h e o t h e r n u m b e r . ( 2 ) S o l . p r o d u c t o f t w o r a t i o n a l n u m b e r s O n e n u m b e r S e c o n d n u m b e r = P r o d u c t ÷ O n e n u m b e r ? S e c o n d r a t i o n a l n u m b e r 4 . B y w h a t n u m b e r s h o u l d b e d i v i d e d s o t h a t t h e q u o t i e n t b e c o m e s 1 2 5 ? ( 2 ) S o l . L e t b e d i v i d e b y x o r s h o u l d b e d i v i d e d b y 5 . F i n d s i x r a t i o n a l n u m b e r s b e t w e e n a n d . ( 3 ) S o l . S i x r a t i o n a l n u m b e r b e t w e e n a n d a r e : ( a n y s i x ) 6 . I f f i n d x 3 . ( 3 ) S o l . 7 . A g i r l i n s t e a d o f d i s t r i b u t i n g s w e e t s o n h e r b i r t h d a y d e c i d e s t o d i s t r i b u t e 3 2 0 a p p l e s i n v a r i o u s o r g a n i z a t i o n s . H a l f t h e a p p l e s s h e d i s t r i b u t e d i n a n o r p h a n a g e , t h r e e f o u r t h s o f t h e r e m a i n i n g w e r e d i s t r i b u t e d i n a s c h o o l f o r d i f f e r e n t l y - a b l e d a n d r e m a i n i n g a p p l e s w e r e d i s t r i b u t e d t o t h e p o o r c h i l d r e n . F i n d t h e n u m b e r o f a p p l e s s h e d i s t r i b u t e d t o t h e p o o r c h i l d r e n . E x p l a i n a n y t w o v a l u e s s h o w n b y h e r . ( 3 + 1 ) S o l . T o t a l a p p l e s = 3 2 0 G i v e n t o o r p h a n a g e Page 4 G e n e r a l I n s t r u c t i o n : T h i s q u e s t i o n p a p e r c o n t a i n s 8 q u e s t i o n s . W r i t e a n s w e r s n e a t l y a n d l e g i b l y . A l l t h e q u e s t i o n s a r e c o m p u l s o r y . M a r k s f o r e a c h q u e s t i o n a r e i n d i c a t e d a g a i n s t i t . 1 . a . I t h i n k o f a n u m b e r a n d s u b t r a c t f r o m i t . I m u l t i p l y t h e r e s u l t b y 8 a n d t h e r e s u l t I f i n a l l y o b t a i n i s 3 t i m e s t h e s a m e n u m b e r I t h o u g h t o f . T h e n u m b e r i s _ _ _ _ _ _ . ( 1 ) b . M u l t i p l i c a t i v e i n v e r s e o f i s _ _ _ _ _ _ _ _ _ _ _ _ . ( 1 ) S o l . ( a ) 4 ( b ) 2 . a . ( - 1 ) 1 1 2 × ( - 1 ) 1 1 3 = _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . ( 1 ) b . U s u a l f o r m o f 1 . 2 5 × 1 0 - 6 i s _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . ( 1 ) S o l . ( a ) - 1 ( b ) 0 . 0 0 0 0 0 1 2 5 3 . P r o d u c t o f t w o r a t i o n a l n u m b e r s i s I f o n e o f t h e m i s f i n d t h e o t h e r n u m b e r . ( 2 ) S o l . p r o d u c t o f t w o r a t i o n a l n u m b e r s O n e n u m b e r S e c o n d n u m b e r = P r o d u c t ÷ O n e n u m b e r ? S e c o n d r a t i o n a l n u m b e r 4 . B y w h a t n u m b e r s h o u l d b e d i v i d e d s o t h a t t h e q u o t i e n t b e c o m e s 1 2 5 ? ( 2 ) S o l . L e t b e d i v i d e b y x o r s h o u l d b e d i v i d e d b y 5 . F i n d s i x r a t i o n a l n u m b e r s b e t w e e n a n d . ( 3 ) S o l . S i x r a t i o n a l n u m b e r b e t w e e n a n d a r e : ( a n y s i x ) 6 . I f f i n d x 3 . ( 3 ) S o l . 7 . A g i r l i n s t e a d o f d i s t r i b u t i n g s w e e t s o n h e r b i r t h d a y d e c i d e s t o d i s t r i b u t e 3 2 0 a p p l e s i n v a r i o u s o r g a n i z a t i o n s . H a l f t h e a p p l e s s h e d i s t r i b u t e d i n a n o r p h a n a g e , t h r e e f o u r t h s o f t h e r e m a i n i n g w e r e d i s t r i b u t e d i n a s c h o o l f o r d i f f e r e n t l y - a b l e d a n d r e m a i n i n g a p p l e s w e r e d i s t r i b u t e d t o t h e p o o r c h i l d r e n . F i n d t h e n u m b e r o f a p p l e s s h e d i s t r i b u t e d t o t h e p o o r c h i l d r e n . E x p l a i n a n y t w o v a l u e s s h o w n b y h e r . ( 3 + 1 ) S o l . T o t a l a p p l e s = 3 2 0 G i v e n t o o r p h a n a g e G i v e n t o s c h o o l 3 2 0 = 1 6 0 + 1 2 0 + x x = 4 0 S h e d i s t r i b u t e d 4 0 a p p l e s t o t h e p o o r . V a l u e : A n y t w o 8 . a . F i n d t h e v a l u e o f t h e v a r i a b l e : ( 3 + 1 ) b . T h e s i z e o f a p l a n t c e l l i s a p p r o x i m a t e l y 0 . 0 0 0 0 1 3 m . C o n v e r t t h e s i z e i n s t a n d a r d f o r m . S o l . ( a ) ( b ) S i z e o f c e l l = 1 . 3 × 1 0 - 5 m .Read More
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